Prof Shahn Majid

Shahn Majid

Professor of Mathematics

School of Mathematical Sciences
Queen Mary University of London
ORCID

Research

quantum gravity, algebra, category theory, mathematical physics, quantum computing

Interests

I am interested in all aspects of geometry and algebra relating to mathematical physics, including quantum groups and quantum spacetime as tools to understand quantum gravity and potential tools for quantum computing.

Publications

Relevant PublicationPublications of specific relevance to the Centre for Geometry, Analysis and Gravitation

2025

bullet iconMajid S (2025). Hopf algebras and q -deformation quantum groups: an overview. Encyclopedia of Mathematical Physics  590-603.  
01-01-2025

2024

bullet iconBeggs E and Majid S (2024). Quantum geodesic flows on graphs. Letters in Mathematical Physics vol. 114 (5) 
16-09-2024
bullet iconLiu C and Majid S (2024). Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model. Journal of High Energy Physics, Springer Nature vol. 2024 (7) 
22-07-2024
bullet iconLira-Torres E and Majid S (2024). Geometric Dirac operator on noncommutative torus and M2(C). Letters in Mathematical Physics, Springer Nature vol. 114 (3) 
28-05-2024
bullet iconMajid S (2024). Dirac operator associated to a quantum metric. Journal of Noncommutative Geometry, European Mathematical Society - EMS - Publishing House 
23-04-2024
Relevant PublicationBeggs E and Majid S (2024). Quantum geodesics in quantum mechanics. Journal of Mathematical Physics, AIP Publishing vol. 65 (1) 
01-01-2024

2023

bullet iconBeggs E and Majid S (2023). Quantum geodesic flow on the integer lattice line. Journal of Physics Conference Series, IOP Publishing vol. 2667 (1) 
01-12-2023
bullet iconHan X and Majid S (2023). Hopf-Galois extensions and twisted Hopf algebroids. Journal of Algebra, Elsevier 
28-11-2023
Relevant PublicationCowtan A and Majid S (2023). Algebraic aspects of boundaries in the Kitaev quantum double model. Journal of Mathematical Physics, AIP Publishing vol. 64 (10) 
01-10-2023
Relevant PublicationLiu C and Majid S (2023). Quantum Kaluza-Klein theory with M 2(ℂ). Journal of High Energy Physics, Springer vol. 2023 (9) 
18-09-2023
bullet iconMajid S (2023). Algebras and Hopf Algebras in Braided Categories. 
10-08-2023
Relevant PublicationBeggs E and Majid S (2023). Quantum geodesic flows and curvature. Letters in Mathematical Physics vol. 113 (3) 
01-06-2023
Relevant PublicationArgota-Quiroz JN and Majid S (2023). Quantum Riemannian geometry of the discrete interval and q-deformation. Journal of Mathematical Physics, AIP Publishing vol. 64 (5) 
01-05-2023
bullet iconMajid S (2023). Quantum geometry of Boolean algebras and de Morgan duality. Journal of Noncommutative Geometry, EMS Press 
10-02-2023

2022

Relevant PublicationArgota-Quiroz JN and Majid S (2022). Quantum gravity on finite spacetimes and dynamical mass. Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity"
23-11-2022
Relevant PublicationLiu C and Majid S (2022). Quantum geodesics on quantum Minkowski spacetime. Journal of Physics A: Mathematical and General, IOP Publishing vol. 55 (42) 
28-10-2022
Relevant PublicationMajid S (2022). Quantum and braided ZX calculus. Journal of Physics A: Mathematical and Theoretical 
01-06-2022
bullet iconArgota-Quiroz JN and Majid S (2022). Quantum Riemannian geometry of the discrete interval and q-deformation. Journal of Mathematical Physics, American Institute of Physics 
26-04-2022
Relevant PublicationCowtan A and Majid S (2022). Quantum double aspects of surface code models. Journal of Mathematical Physics, AIP Publishing vol. 63 (4) 
01-04-2022
bullet iconMajid S and Lira Torres E (2022). Geometric Dirac operator on the fuzzy sphere. Letters in Mathematical Physics, Springer (part of Springer Nature) 
21-01-2022

2021

Relevant PublicationArgota-Quiroz JN and Majid S (2021). Fuzzy and discrete black hole models. Classical and Quantum Gravity, IOP Publishing vol. 38 (14) 
21-06-2021
Relevant PublicationMajid S and Lira Torres E (2021). Quantum gravity and Riemannian geometry on the fuzzy sphere. Letters in Mathematical Physics, Springer (part of Springer Nature) 
05-03-2021
Relevant PublicationMajid S and Williams L (2021). Poisson principal bundles. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), National Academy of Science of Ukraine 
21-01-2021

2020

Relevant PublicationMajid S and Argota Quiroz J (2020). Quantum gravity on polygons and R x Z_n FLRW mode. Classical and Quantum Gravity, IOP Publishing 
13-11-2020
Relevant PublicationMajid S and Pachol A (2020). Digital quantum groups. Journal of Mathematical Physics, AIP Publishing 
22-10-2020
bullet iconMajid S and AZIZ R (2020). Quantum differentials on cross product Hopf algebras. Journal of Algebra, Elsevier 
15-07-2020
Relevant PublicationMajid S and Pacho A (2020). Digital finite quantum Riemannian geometries. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 53 (11) 
27-02-2020
bullet iconMajid S (2020). Reconstruction and quantization of Riemannian structures. Journal of Mathematical Physics, AIP Publishing vol. 61 (2) 
01-02-2020
Relevant PublicationBeggs EJ and Majid S (2020). Quantum Riemannian Geometry. 
01-01-2020
bullet iconMajid S (2020). Quantum geometry, logic and probability. Zagadnienia Filozoficzne w Nauce (69), 191-236.  
01-01-2020

2019

Relevant PublicationMajid S (2019). Quantum gravity on a square graph. Classical and Quantum Gravity, IOP Publishing vol. 36 (24) 
14-11-2019
bullet iconMajid S and Tao W-Q (2019). Generalised noncommutative geometry on finite groups and Hopf quivers. Journal of Noncommutative Geometry, European Mathematical Society - EMS - Publishing House vol. 13 (3), 1055-1116.  
04-11-2019
Relevant PublicationMajid S (2019). Quantum Riemannian geometry and particle creation on the integer line. Classical and Quantum Gravity, IOP Publishing vol. 36 (13) 
18-06-2019
bullet iconAlbuquerque H and Majid S (2019). New approach to octonions and Cayley algebras. 
20-05-2019
bullet iconBassett ME and Majid S (2019). Finite Noncommutative Geometries Related to Fp[x]. Algebras and Representation Theory, Springer Nature vol. 23 (2), 251-274.  
31-01-2019
bullet iconAziz R and Majid S (2019). Co-double bosonisation and dual bases of c q [SL 2] and c q [SL 3]. Journal of Algebra, Elsevier vol. 518, 75-118.  
01-01-2019

2018

bullet iconAkylzhanov R, Majid S and Ruzhansky M (2018). Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups. Communications in Mathematical Physics, Springer Nature vol. 362 (3), 761-799.  
13-08-2018
bullet iconMAJID SH (2018). On the Emergence of the Structure of Physics. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, Royal Society, The 
19-03-2018
bullet iconMAJID SH and PACHOL A (2018). Classification of digital affine noncommutative geometries. Journal of Mathematical Physics, AIP Publishing 
01-03-2018
bullet iconMAJID SH and WILLIAMS L (2018). Quantum Koszul formula on quantum spacetime. Journal of Geometry and Physics, Elsevier 
19-02-2018
bullet iconMAJID SH and Osei P (2018). Quasitriangular structure and twisting of the 3D bicrossproduct model. Journal of High Energy Physics, Springer Verlag (Germany) 
30-01-2018

2017

bullet iconMAJID SH and Beggs EJ (2017). Quantum Bianchi identities via DG categories. Journal of Geometry and Physics 
21-11-2017
bullet iconMAJID SH and Beggs EJ (2017). Spectral triples from bimodule connections and Chern connections. Journal of Noncommutative Geometry, European Mathematical Society 
29-06-2017
bullet iconFritz C and Majid S (2017). Noncommutative spherically symmetric spacetimes at semiclassical order. Classical and Quantum Gravity 
14-06-2017
bullet iconMAJID SH (2017). Quantum Riemannian geometry of phase space and nonassociativity. Demonstratio Mathematica 
16-05-2017
bullet iconMAJID SH (2017). Hodge Star as Braided Fourier Transform. Algebras and Representation Theory, Springer Verlag (Germany) 
08-02-2017
bullet iconMAJID SH, Lopez Pena J and Rietsch K (2017). Lie theory of finite simple groups and Roth property. Cambridge Philosophical Society: Mathematical Proceedings, Cambridge University Press (CUP): STM Journals - No Cambridge Open 
09-01-2017

2016

bullet iconMAJID SH and Beggs EJ (2016). Poisson-Riemannian geometry. Journal of Geometry and Physics, Elsevier 
27-12-2016
bullet iconMajid S (2016). Non-commutative Differential Geometry. Analysis and Mathematical Physics  139-176.  
21-12-2016
bullet iconMajid S and Tao W-Q (2016). Noncommutative differentials on Poisson–Lie groups and pre-Lie algebras. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 284 (1), 213-256.  
10-07-2016

2015

bullet iconMajid S and Tao W-Q (2015). Duality for generalised differentials on quantum groups. Journal of Algebra, Elsevier vol. 439, 67-109.  
01-10-2015
bullet iconMajid S and Tao W-Q (2015). Cosmological constant from quantum spacetime. Physical Review D, American Physical Society (APS) vol. 91 (12) 
09-06-2015

2014

bullet iconMAJID SH (2014). The self-representing Universe. Mathematical Structures of the Universe , Editors: Szybka S, Heller M and Eckstein M. 
09-11-2014
Relevant PublicationBeggs EJ and Majid S (2014). Gravity induced from quantum spacetime. CLASSICAL AND QUANTUM GRAVITY vol. 31 (3) 
01-01-2014
bullet iconMajid S (2014). Newtonian gravity on quantum spacetime. 
01-01-2014
bullet iconMajid S (2014). Emergence of Riemannian geometry and the massive graviton. 
01-01-2014

2013

bullet iconMajid S (2013). Noncommutative Riemannian geometry on graphs. JOURNAL OF GEOMETRY AND PHYSICS vol. 69, 74-93.  
01-01-2013
bullet iconMajid S and Rietsch K (2013). Lie theory and coverings of finite groups. JOURNAL OF ALGEBRA vol. 389, 137-150.  
01-01-2013

2012

bullet iconPolkinghorne J, Penrose R, Taylor A, Connes A, Heller M and Majid S (2012). Quantum spacetime and physical reality. On Space and Time  56-140.  
26-03-2012
bullet iconMajid S (2012). Almost Commutative Riemannian Geometry: Wave Operators. COMMUNICATIONS IN MATHEMATICAL PHYSICS vol. 310 (3), 569-609.  
01-01-2012
bullet iconMajid S (2012). Emergence of Wave Equations from Quantum Geometry. 
01-01-2012
bullet iconConnes A, Heller M, Majid S, Penrose R, Polkinghorne J and Taylor A (2012). On space and time. 
01-01-2012
bullet iconMajid S (2012). Preface. On Space and Time, xi-xx.  
01-01-2012

2011

bullet iconGateva-Ivanova T and Majid S (2011). Quantum Spaces Associated to Multipermutation Solutions of Level Two. ALGEBR REPRESENT TH vol. 14 (2), 341-376.  
01-04-2011
bullet iconMajid S (2011). Scaling Limit of the Noncommutative Black Hole. 
01-01-2011
bullet iconMajid S (2011). q-Fuzzy Spheres and Quantum Differentials on Bq[SU2] and Uq(su2). LETTERS IN MATHEMATICAL PHYSICS vol. 98 (2), 167-191.  
01-01-2011
bullet iconTOMASIC I and Majid S (2011). On braided zeta functions. Bull. Math. Sci. vol. 1 (2), 379-396.  
01-01-2011
bullet iconBeggs EJ and Majid S (2011). *-compatible connections in noncommutative Riemannian geometry. J GEOM PHYS vol. 61 (1), 95-124.  
01-01-2011

2010

bullet iconBeggs E and Majid S (2010). Nonassociative Riemannian geometry by twisting. 
01-11-2010
bullet iconMajid S (2010). Quantum groups. The Princeton Companion to Mathematics  272-275.  
18-07-2010
bullet iconKlim J and Majid S (2010). Hopf quasigroups and the algebraic 7-sphere. J ALGEBRA vol. 323 (11), 3067-3110.  
01-06-2010
bullet iconBeggs EJ and Majid S (2010). Quantization by cochain twists and nonassociative differentials. J MATH PHYS vol. 51 (5) 
01-05-2010
bullet iconMajid S (2010). Preface. On Space and Time, xi-xx.  
01-01-2010
bullet iconMajid S, Connes A, Heller M, Penrose R, Polkinghorne J and Taylor A (2010). On space and time. 
01-01-2010
bullet iconKlim J and Majid S (2010). Bicrossproduct Hopf quasigroups. Commentationes Mathematicae Universitatis Carolinae vol. 51 (2), 287-304.  
01-01-2010

2009

bullet iconMajid S and Schroers BJ (2009). q-deformation and semidualization in 3D quantum gravity. J PHYS A-MATH THEOR vol. 42 (42) 
23-10-2009
bullet iconBeggs EJ and Majid S (2009). Bar Categories and Star Operations. 
01-10-2009
bullet iconMajid S (2009). Algebraic approach to Quantum Gravity II: noncommutative spacetime. Approaches to Quantum Gravity  466-492.  
05-03-2009

2008

bullet iconBrain SJ and Majid S (2008). Quantisation of Twistor Theory by Cocycle Twist. COMMUN MATH PHYS vol. 284 (3), 713-774.  
01-12-2008
bullet iconConnes A, Heller M, Penrose R, Polkinghorne J, Taylor A and Majid S (2008). Quantum spacetime and physical reality. On Space and Time  56-140.  
25-09-2008
bullet iconFreidel L and Majid S (2008). Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity. CLASSICAL QUANT GRAV vol. 25 (4) 
21-02-2008
bullet iconGateva-Ivanova T and Majid S (2008). Matched pairs approach to set theoretic solutions of the Yang-Baxter equation. J ALGEBRA vol. 319 (4), 1462-1529.  
15-02-2008

2007

bullet iconGateva-Ivanova T and Majid S (2007). Set-theoretic solutions of the Yang-Baxter equation, graphs and computations. 
01-11-2007
bullet iconHadfield T and Majid S (2007). Bicrossproduct approach to the Connes-Moscovici Hopf algebra. J ALGEBRA vol. 312 (1), 228-256.  
01-06-2007
bullet iconMajid S (2007). Algebraic approach to quantum gravity III: Non-commmutative riemannian geometry., Editors: Fauser B, Tolksdorf J and Zeidler E. 
01-01-2007

2006

bullet iconBeggs EJ and Majid S (2006). Semiclassical differential structures. PAC J MATH vol. 224 (1), 1-44.  
01-03-2006
bullet iconMAJID SH (2006). What is a quantum group. 
01-01-2006
bullet iconMajid S (2006). Bicrossproduct Hopf Algebras and Noncommutative Spacetime. Encyclopedia of Mathematical Physics: Five-Volume Set  
01-01-2006
bullet iconMajid S (2006). Hopf Algebras and q-Deformation Quantum Groups. Encyclopedia of Mathematical Physics: Five-Volume Set  
01-01-2006

2005

bullet iconMajid S (2005). Noncommutative model with spontaneous time generation and Planckian bound. J MATH PHYS vol. 46 (10) 
01-10-2005
bullet iconMajid S (2005). Gauge theory on nonassociative spaces. J MATH PHYS vol. 46 (10) 
01-10-2005
bullet iconMajid S (2005). Noncommutative Riemannian and spin geometry of the standard q-sphere. COMMUN MATH PHYS vol. 256 (2), 255-285.  
01-06-2005
bullet iconMajid S (2005). Noncommutative differentials and Yang-Mills on permutation groups S-n., Editors: Caenepeel S and VanOystaeyen F. 189-213.  
01-01-2005
bullet iconMAJID SH (2005). Classification of differentials on quantum doubles and finite noncommutative geometry. Hopf algebras in noncommutative geometry and physics  167-188.  
01-01-2005

2004

bullet iconMajid S and Raineri E (2004). Moduli of quantum Riemannian geometries on <= 4 points. J MATH PHYS vol. 45 (12), 4596-4627.  
01-12-2004
bullet iconNgakeu F, Majid S and Ezin JP (2004). Cartan calculus for quantum differentials on bicrossproducts. ACTA APPL MATH vol. 84 (2), 193-236.  
01-11-2004
bullet iconAkrami SE and Majid S (2004). Braided cyclic cocycles and nonassociative geometry. J MATH PHYS vol. 45 (10), 3883-3911.  
01-10-2004
bullet iconGoldin GA and Majid S (2004). On the Fock space for nonrelativistic anyon fields and braided tensor products. J MATH PHYS vol. 45 (10), 3770-3787.  
01-10-2004
bullet iconMajid S (2004). Special issue: Quantum groups and noncommutative geometry - Introduction. J MATH PHYS vol. 45 (10), 3701-3702.  
01-10-2004
bullet iconMajid S (2004). Noncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebras., Editors: Ablamowicz R. 
01-01-2004
bullet iconMAJID SH and Akrami SE (2004). Braided cyclic cocycles and nonassociative geometry. J. Math. Phys. vol. 45, 3883-3911.  
01-01-2004

2003

bullet iconGomez X and Majid S (2003). Braided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebras. J ALGEBRA vol. 261 (2), 334-388.  
15-03-2003
bullet iconBatista E and Majid S (2003). Noncommutative geometry of angular momentum space U(su(2)). J MATH PHYS vol. 44 (1), 107-137.  
01-01-2003
bullet iconBatista E and Majid S (2003). Noncommutative geometry on the algebra U(su2) and quantization of coadjoint orbits., Editors: Gazeau JP, Kerner R, Antoine JP, Metens S and Thibon JY. 
01-01-2003
bullet iconCameron PJ and Majid S (2003). Braided line and counting fixed points of GL(d, F-q). COMMUN ALGEBRA vol. 31 (4), 2003-2013.  
01-01-2003
bullet iconMAJID SH and GOMEZ X (2003). Relating quantum and braided Lie algebras. Banach Center Publications Volume No: 44  91-102.  
01-01-2003
bullet iconMajid S (2003). Noncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unity. LETT MATH PHYS vol. 63 (1), 39-54.  
01-01-2003

2002

bullet iconMajid S and Raineri E (2002). Electromagnetism and gauge theory on the permutation group S-3. J GEOM PHYS vol. 44 (2-3), 129-155.  
01-12-2002
bullet iconMajid S and Schucker T (2002). Z(2) x Z(2) lattice as a Connes-Lott-quantum group model. J GEOM PHYS vol. 43 (1), 1-26.  
01-08-2002
bullet iconMajid S (2002). Knots and Feynman diagrams, by D. Kreimer. Pp. 272. £21.95. 2000. ISBN 0521 58761 1 (Cambridge University Press). The Mathematical Gazette, Cambridge University Press (CUP) vol. 86 (506), 381-383.  
01-07-2002
bullet iconAlbuquerque H and Majid S (2002). Clifford algebras obtained by twisting of group algebras. J PURE APPL ALGEBRA vol. 171 (2-3), 133-148.  
25-06-2002
bullet iconNgakeu F, Majid S and Lambert D (2002). Noncommutative Riemannian geometry of the alternating group A(4). J GEOM PHYS vol. 42 (3), 259-282.  
01-06-2002
bullet iconGomez X and Majid S (2002). Noncommutative cohomology and electromagnetism on C-q[SL2] at roots of unity. LETT MATH PHYS vol. 60 (3), 221-237.  
01-06-2002
bullet iconMajid S (2002). Riemannian geometry of quantum groups and finite groups with nonuniversal differentials. COMMUN MATH PHYS vol. 225 (1), 131-170.  
01-01-2002
bullet iconMAJID SH (2002). A Quantum Groups Primer. 
01-01-2002

2001

bullet iconBeggs EJ and Majid S (2001). Poisson-Lie T-duality for quasitriangular Lie bialgebras. COMMUN MATH PHYS vol. 220 (3), 455-488.  
01-07-2001
bullet iconMAJID SH (2001). Noncommutative differential geometry and twisting of quantum groups. Quantum Groups and Lie Theory  175-190.  
01-01-2001

2000

bullet iconAMELINO-CAMELIA G and MAJID S (2000). WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS. International Journal of Modern Physics A, World Scientific Publishing vol. 15 (27), 4301-4323.  
30-10-2000
bullet iconBrzeziński T and Majid S (2000). Quantum Geometry of Algebra Factorisations¶and Coalgebra Bundles. Communications in Mathematical Physics, Springer Nature vol. 213 (3), 491-521.  
01-10-2000
bullet iconMAJID S (2000). CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS. 
20-09-2000
bullet iconMajid S (2000). Quantum groups and noncommutative geometry. Journal of Mathematical Physics, AIP Publishing vol. 41 (6), 3892-3942.  
01-06-2000
bullet iconMajid S (2000). Non-commutative geometry and quantum groups. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, The Royal Society vol. 358 (1765), 89-109.  
15-01-2000
bullet iconMajid S (2000). Braided-Lie bialgebras. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 192 (2), 329-356.  
01-01-2000
bullet iconAmelino-Camelia G and Majid S (2000). Waves on noncommutative space-time and gamma-ray bursts. INTERNATIONAL JOURNAL OF MODERN PHYSICS A vol. 15 (27), 4301-4323.  
01-01-2000
bullet iconMajid S (2000). Meaning of noncommutative geometry and the Planck-scale quantum group. 
01-01-2000
bullet iconMajid S and Oeckl R (2000). Twisting of Quantum Differentials. Geometry and Quantum Physics  392-392.  
01-01-2000

1999

bullet iconAlbuquerque H and Majid S (1999). Quasialgebra Structure of the Octonions. Journal of Algebra, Elsevier vol. 220 (1), 188-224.  
01-10-1999
bullet iconHajac PM and Majid S (1999). Projective Module Description of the q-Monopole. Communications in Mathematical Physics, Springer Nature vol. 206 (2), 247-264.  
01-10-1999
bullet iconMajid S and Oeckl R (1999). Twisting of Quantum Differentials and¶the Planck Scale Hopf Algebra. Communications in Mathematical Physics, Springer Nature vol. 205 (3), 617-655.  
01-09-1999
bullet iconMAJID S (1999). DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY. Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 8 (06), 731-771.  
01-09-1999
bullet iconBeggs E and Majid S (1999). Quasitriangular and Differential Structures on Bicrossproduct Hopf Algebras. Journal of Algebra, Elsevier vol. 219 (2), 682-727.  
01-09-1999
bullet iconMajid S (1999). Quantum and braided group Riemannian geometry. Journal of Geometry and Physics, Elsevier vol. 30 (2), 113-146.  
01-05-1999
bullet iconMajid S (1999). Quantum geometry of field extensions. Journal of Mathematical Physics, AIP Publishing vol. 40 (5), 2311-2323.  
01-05-1999
bullet iconMAJID S (1999). Double-bosonization of braided groups and the construction of Uq(g). Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP) vol. 125 (1), 151-192.  
01-01-1999

1998

bullet iconMajid S (1998). Some remarks on braided group reconstruction and braided doubles. Czechoslovak Journal of Physics, Springer Nature vol. 48 (11), 1447-1456.  
01-11-1998
bullet iconMajid S (1998). Quantum and braided diffeomorphism groups. Journal of Geometry and Physics, Elsevier vol. 28 (1-2), 94-128.  
01-11-1998
bullet iconBrzeziński T and Majid S (1998). Quantum Differentials and the q-Monopole Revisited. Acta Applicandae Mathematicae, Springer Nature vol. 54 (2), 185-232.  
01-11-1998
bullet iconMajid S (1998). Quantum Double for Quasi-Hopf Algebras. Letters in Mathematical Physics, Springer Nature vol. 45 (1), 1-9.  
01-07-1998
bullet iconMajid S (1998). Classification of bicovariant differential calculi. Journal of Geometry and Physics, Elsevier vol. 25 (1-2), 119-140.  
01-04-1998
bullet iconBrzeziński T and Majid S (1998). Coalgebra Bundles. Communications in Mathematical Physics, Springer Nature vol. 191 (2), 467-492.  
01-02-1998
bullet iconBrzeziński T and Majid S (1998). Line bundles on quantum spheres. 
01-01-1998

1997

bullet iconMajid S (1997). Fermionic q-Fock space and braided geometry. Journal of Mathematical Physics, AIP Publishing vol. 38 (9), 4845-4853.  
01-09-1997
bullet iconMajid S (1997). Quasi-∗ structure on q-Poincaré algebras. Journal of Geometry and Physics, Elsevier vol. 22 (1), 14-58.  
01-04-1997
bullet iconMAJID S (1997). Bicross-Product Structure of Affine Quantum Groups. Letters in Mathematical Physics, Springer Nature vol. 39 (3), 243-252.  
01-02-1997
bullet iconMajid S (1997). Some comments on bosonisation and biproducts. Czechoslovak Journal of Physics, Springer Nature vol. 47 (2), 151-171.  
01-02-1997
bullet iconMajid S (1997). New quantum groups by double-bosonisation. Czechoslovak Journal of Physics, Springer Nature vol. 47 (1), 79-90.  
01-01-1997
bullet iconMajid S (1997). Anyonic lie algebras. Czechoslovak Journal of Physics, Springer Nature vol. 47 (12), 1241-1250.  
01-01-1997
bullet iconMajid S (1997). Braided geometry and the inductive construction of Lie algebras and quantum groups. 
01-01-1997
bullet iconMajid S (1997). Quantum geometry and the Planck scale. 
01-01-1997

1996

bullet iconMajid S (1996). Braided geometry of the conformal algebra. Journal of Mathematical Physics, AIP Publishing vol. 37 (12), 6495-6509.  
01-12-1996
bullet iconBeggs EJ, Gould JD and Majid S (1996). Finite Group Factorizations and Braiding. Journal of Algebra, Elsevier vol. 181 (1), 112-151.  
01-04-1996
bullet iconMajid S and Markl M (1996). Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type. Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP) vol. 119 (1), 139-166.  
01-01-1996
bullet iconMajid S (1996). Introduction to braided geometry and q-Minkowski space. 
01-01-1996

1995

bullet iconMajid S and Rodríguez-Plaza MJ (1995). Nonstandard quantum groups and superization. Journal of Mathematical Physics, AIP Publishing vol. 36 (12), 7081-7097.  
01-12-1995
bullet iconMAJID S (1995). SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS. Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 4 (04), 673-697.  
01-12-1995
bullet iconMajid S (1995). *‐structures on braided spaces. Journal of Mathematical Physics, AIP Publishing vol. 36 (8), 4436-4449.  
01-08-1995
bullet iconMajid S (1995). q‐epsilon tensor for quantum and braided spaces. Journal of Mathematical Physics, AIP Publishing vol. 36 (4), 1991-2007.  
01-04-1995
bullet iconBrzeziński T and Majid S (1995). Quantum group Gauge theory on quantum spaces. Communications in Mathematical Physics, Springer Nature vol. 167 (1), 235-235.  
01-01-1995

1994

bullet iconKempf A and Majid S (1994). Algebraic q‐integration and Fourier theory on quantum and braided spaces. Journal of Mathematical Physics, AIP Publishing vol. 35 (12), 6802-6837.  
01-12-1994
bullet iconMajid S and Rodríguez-Plaza MJ (1994). Anyonic FRT construction. Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1073-1080.  
01-11-1994
bullet iconMajid S (1994). Some remarks on the quantum double. Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1059-1071.  
01-11-1994
bullet iconMajid S (1994). q‐Euclidean space and quantum Wick rotation by twisting. Journal of Mathematical Physics, AIP Publishing vol. 35 (9), 5025-5034.  
01-09-1994
bullet iconMajid S and Ruegg H (1994). Bicrossproduct structure of κ-Poincare group and non-commutative geometry. Physics Letters B, Elsevier vol. 334 (3-4), 348-354.  
01-08-1994
bullet iconMajid S and Rodríguez-Plaza MJ (1994). Random walk and the heat equation on superspace and anyspace. Journal of Mathematical Physics, AIP Publishing vol. 35 (7), 3753-3760.  
01-07-1994
bullet iconMajid S and Meyer U (1994). Braided matrix structure ofq-Minkowski space andq-Poincaré group. Zeitschrift für Physik C Particles and Fields, Springer Nature vol. 63 (2), 357-362.  
01-06-1994
bullet iconLyubashenko V and Majid S (1994). Braided Groups and Quantum Fourier Transform. Journal of Algebra, Elsevier vol. 166 (3), 506-528.  
01-06-1994
bullet iconMajid S (1994). Quantum and braided-Lie algebras. Journal of Geometry and Physics, Elsevier vol. 13 (4), 307-356.  
01-05-1994
bullet iconMajid S (1994). On the addition of quantum matrices. Journal of Mathematical Physics, AIP Publishing vol. 35 (5), 2617-2632.  
01-05-1994
bullet iconMajid S (1994). The quantum double as quantum mechanics. Journal of Geometry and Physics, Elsevier vol. 13 (2), 169-202.  
01-02-1994
bullet iconGurevich D and Majid S (1994). Braided groups of Hopf algebras obtained by twisting. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 162 (1), 27-44.  
01-01-1994
bullet iconMajid S (1994). Bicrossproduct Structure of the Quantum Weyl Group. Journal of Algebra, Elsevier vol. 163 (1), 68-87.  
01-01-1994
bullet iconMajid S (1994). Cross Products by Braided Groups and Bosonization. Journal of Algebra, Elsevier vol. 163 (1), 165-190.  
01-01-1994
bullet iconMajid S (1994). Lie algebras and braided geometry. 
01-01-1994

1993

bullet iconBrzeziński T and Majid S (1993). Quantum group gauge theory on quantum spaces. Communications in Mathematical Physics, Springer Nature vol. 157 (3), 591-638.  
01-11-1993
bullet iconMAJID S (1993). QUANTUM RANDOM WALKS AND TIME REVERSAL. International Journal of Modern Physics A, World Scientific Publishing vol. 8 (25), 4521-4545.  
10-10-1993
bullet iconMajid S (1993). Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group. Communications in Mathematical Physics, Springer Nature vol. 156 (3), 607-638.  
01-10-1993
bullet iconMajid S (1993). Free braided differential calculus, braided binomial theorem, and the braided exponential map. Journal of Mathematical Physics, AIP Publishing vol. 34 (10), 4843-4856.  
01-10-1993
bullet iconMajid S (1993). BRAIDED GROUPS AND BRAID STATISTICS. Quantum Probability and Related Topics  281-295.  
01-09-1993
bullet iconBaskerville WK and Majid S (1993). The braided Heisenberg group. Journal of Mathematical Physics, AIP Publishing vol. 34 (8), 3588-3606.  
01-08-1993
bullet iconMajid S and Rodríguez-Plaza MJ (1993). Quantum and super-quantum group related to the Alexander-Conway polynomial. Journal of Geometry and Physics, Elsevier vol. 11 (1-4), 437-443.  
01-06-1993
bullet iconMajid S (1993). Braided groups. Journal of Pure and Applied Algebra, Elsevier vol. 86 (2), 187-221.  
01-05-1993
bullet iconMajid S (1993). Braided momentum in the q‐Poincaré group. Journal of Mathematical Physics, AIP Publishing vol. 34 (5), 2045-2058.  
01-05-1993
bullet iconMajid S (1993). Quantum and braided linear algebra. Journal of Mathematical Physics, AIP Publishing vol. 34 (3), 1176-1196.  
01-03-1993
bullet iconMajid S (1993). Transmutation theory and rank for quantum braided groups. Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP) vol. 113 (1), 45-70.  
01-01-1993
bullet iconBrzeziński T and Majid S (1993). Quantum group gauge theory on classical spaces. Physics Letters B, Elsevier vol. 298 (3-4), 339-343.  
01-01-1993
bullet iconDONIN J, GUREVICH D and MAJID S (1993). R-MATRIX BRACKETS AND THEIR QUANTIZATION. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE vol. 58 (2), 235-246.  
01-01-1993
bullet iconMajid S (1993). Anyonic Quantum Groups. Spinors, Twistors, Clifford Algebras and Quantum Deformations  327-336.  
01-01-1993

1992

bullet iconMajid S (1992). C -statistical quantum groups and Weyl algebras. Journal of Mathematical Physics, AIP Publishing vol. 33 (10), 3431-3444.  
01-10-1992
bullet iconBrzeziński T and Majid S (1992). A class of bicovariant differential calculi on hopf algebras. Letters in Mathematical Physics, Springer Nature vol. 26 (1), 67-78.  
01-09-1992
bullet iconMACFARLANE AJ and MAJID S (1992). SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR. International Journal of Modern Physics A, World Scientific Publishing vol. 7 (18), 4377-4393.  
20-07-1992
bullet iconLyubashenko VV and Majid S (1992). Fourier transform identities in quantum mechanics and the quantum line. Physics Letters B, Elsevier vol. 284 (1-2), 66-70.  
01-06-1992
bullet iconMAJID S (1992). RANK OF QUANTUM GROUPS AND BRAIDED GROUPS IN DUAL FORM. LECTURE NOTES IN MATHEMATICS vol. 1510, 79-89.  
01-01-1992
bullet iconMAJID S (1992). AN OPEN PROBLEM IN QUANTUM GROUPS. LECTURE NOTES IN MATHEMATICS vol. 1510, 390-391.  
01-01-1992
bullet iconMACFARLANE AJ and MAJID S (1992). THE SUPERALGEBRA OSP(1/2) AND A RELATED QUANTUM GROUP-STRUCTURE FOR HARMONIC-OSCILLATOR SYSTEMS. 
01-01-1992

1991

bullet iconMajid S (1991). Examples of braided groups and braided matrices. Journal of Mathematical Physics, AIP Publishing vol. 32 (12), 3246-3253.  
01-12-1991
bullet iconMAJID S (1991). RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES. International Journal of Modern Physics A, World Scientific Publishing vol. 6 (24), 4359-4374.  
10-10-1991
bullet iconMacfarlane AJ and Majid S (1991). Quantum group structure in a fermionic extension of the quantum harmonic oscillator. Physics Letters B, Elsevier vol. 268 (1), 71-74.  
01-10-1991
bullet iconMajid S (1991). QUANTUM GROUPS AND QUANTUM PROBABILITY. Quantum Probability and Related Topics  333-358.  
01-10-1991
bullet iconMajid S (1991). Principle of Representation‐Theoretic Self‐Duality. Physics Essays, Physics Essays Publication vol. 4 (3), 395-405.  
01-09-1991
bullet iconMajid S (1991). Braided groups and algebraic quantum field theories. Letters in Mathematical Physics, Springer Nature vol. 22 (3), 167-175.  
01-07-1991
bullet iconMajid S (1991). Gauge-covariant vacuum expectations and glueballs. Il Nuovo Cimento A (1971-1996), Springer Nature vol. 104 (7), 949-960.  
01-07-1991
bullet iconMajid S (1991). Quasi-quantum groups as internal symmetries of topological quantum field theories. Letters in Mathematical Physics, Springer Nature vol. 22 (2), 83-90.  
01-06-1991
bullet iconMajid S (1991). Mass dependence ofU(1) axial-symmetry breakdown. Il Nuovo Cimento A (1971-1996), Springer Nature vol. 104 (5), 617-640.  
01-05-1991
bullet iconMAJID S and SOIBELMAN YS (1991). CHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVE. International Journal of Modern Physics A, World Scientific Publishing vol. 6 (10), 1815-1827.  
20-04-1991
bullet iconMajid S and Soibelman YS (1991). Rank of quantized universal enveloping algebras and modular functions. Communications in Mathematical Physics, Springer Nature vol. 137 (2), 249-262.  
01-04-1991
bullet iconMajid S (1991). Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the Classical Yang-Baxter Equations. Journal of Functional Analysis, Elsevier vol. 95 (2), 291-319.  
01-02-1991
bullet iconMajid S (1991). Doubles of quasitriangular hopf algebras. Communications in Algebra, Taylor & Francis vol. 19 (11), 3061-3073.  
01-01-1991

1990

bullet iconMAJID S (1990). ON q-REGULARIZATION. International Journal of Modern Physics A, World Scientific Publishing vol. 5 (24), 4689-4696.  
20-12-1990
bullet iconMajid S (1990). Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction. Journal of Algebra, Elsevier vol. 130 (1), 17-64.  
01-04-1990
bullet iconMajid S (1990). Fourier transforms on ????/???? and knot invariants. Journal of Mathematical Physics, AIP Publishing vol. 31 (4), 924-927.  
01-04-1990
bullet iconMajid S (1990). More examples of bicrossproduct and double cross product Hopf algebras. Israel Journal of Mathematics, Springer Nature vol. 72 (1-2), 133-148.  
01-02-1990
bullet iconMAJID S (1990). QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS. International Journal of Modern Physics A, World Scientific Publishing vol. 5 (01), 1-91.  
10-01-1990
bullet iconMajid S (1990). Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 141 (2), 311-332.  
01-01-1990
bullet iconMajid S (1990). Representation-theoretic rank and double hopf algebras. Communications in Algebra, Taylor & Francis vol. 18 (11), 3705-3712.  
01-01-1990
bullet iconBEGGS E and MAJID S (1990). MATCHED PAIRS OF TOPOLOGICAL LIE-ALGEBRAS CORRESPONDING TO LIE BIALGEBRA STRUCTURES ON DIFF(S1) AND DIFF(R). ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE vol. 53 (1), 15-34.  
01-01-1990
bullet iconMAJID S (1990). QUANTUM GROUP DUALITY IN VERTEX MODELS AND OTHER RESULTS IN THE THEORY OF QUASI-TRAINGULAR HOPF-ALGEBRAS. 
01-01-1990

1989

bullet iconMajid S (1989). Erratum: Liouville theorem for the Yang–Mills self-duality equations [J. Math. Phys. 2 9 , 2303 (1988)]. Journal of Mathematical Physics, AIP Publishing vol. 30 (7), 1652-1652.  
01-07-1989
bullet iconMajid S (1989). Canonical arbitrary-spin background-field wave operator and applications. Il Nuovo Cimento A (1971-1996), Springer Nature vol. 101 (6), 857-882.  
01-06-1989
bullet iconMajid S (1989). Partial waves for the linearized Yang–Mills equation about a monopole background. Journal of Mathematical Physics, AIP Publishing vol. 30 (5), 1150-1157.  
01-05-1989
bullet iconMajid S (1989). Matched pairs of lie groups and Hopf algebra bicrossproducts. Nuclear and Particle Physics Proceedings, Elsevier vol. 6, 422-424.  
01-03-1989

1988

bullet iconMajid S (1988). Hopf algebras for physics at the Planck scale. Classical and Quantum Gravity, IOP Publishing vol. 5 (12) 
01-12-1988
bullet iconMajid S (1988). Liouville theorem for the Yang–Mills self-duality equations. Journal of Mathematical Physics, AIP Publishing vol. 29 (10), 2303-2310.  
01-10-1988

Grants

solid heart iconGrants of specific relevance to the Centre for Geometry, Analysis and Gravitation
bullet iconHopf algebroids and quantum variational calculus
Shahn Majid
£253,728 Leverhulme Trust (01-10-2024 - 30-09-2027)


bullet iconHADG - MSCA IF 2020 (PI: ShahnMajid)
Shahn Majid
£170,347 EU Commission - Horizon 2020 (01-12-2021 - 30-11-2023)