Prof Shahn Majid
Professor of Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
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
Publications of specific relevance to the Centre for Geometry, Analysis and Gravitation2025
Hopf algebras and q -deformation quantum groups: an overviewMajid S
In Encyclopedia of Mathematical Physics, Elsevier 590-603.
01-01-2025
2024
Quantum geodesic flows on graphsBeggs E and Majid S
Letters in Mathematical Physics, Springer Nature vol. 114 (5)
16-09-2024
Yang-Mills field from fuzzy sphere quantum Kaluza-Klein modelLiu C and Majid S
Journal of High Energy Physics, Springer Nature vol. 2024 (7)
22-07-2024
Geometric Dirac operator on noncommutative torus and M2(C)Lira-Torres E and Majid S
Letters in Mathematical Physics, Springer Nature vol. 114 (3)
28-05-2024
Dirac operator associated to a quantum metricMajid S
Journal of Noncommutative Geometry, European Mathematical Society - Ems - Publishing House
23-04-2024
Quantum geodesics in quantum mechanicsBeggs E and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 65 (1)
01-01-2024
2023
Quantum geodesic flow on the integer lattice lineBeggs E and Majid S
Journal of Physics Conference Series, Iop Publishing vol. 2667 (1)
01-12-2023
Quantum jet bundlesMajid S and Simão F
Letters in Mathematical Physics, Springer Nature vol. 113 (6), 120-120.
28-11-2023
Hopf-Galois extensions and twisted Hopf algebroidsHan X and Majid S
Journal of Algebra, Elsevier
28-11-2023
Algebraic aspects of boundaries in the Kitaev quantum double modelCowtan A and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 64 (10)
01-10-2023
Quantum Kaluza-Klein theory with M Liu C and Majid S
Journal of High Energy Physics, Springer vol. 2023 (9)
18-09-2023
Quantum geodesic flows and curvatureBeggs E and Majid S
Letters in Mathematical Physics vol. 113 (3)
01-06-2023
Quantum Riemannian geometry of the discrete interval and q-deformationArgota-Quiroz JN and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 64 (5)
01-05-2023
Quantum geometry of Boolean algebras and de Morgan dualityMajid S
Journal of Noncommutative Geometry, Ems Press
10-02-2023
2022
Quantum gravity on finite spacetimes and dynamical massArgota-Quiroz JN and Majid S
Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". vol. 406
23-11-2022
Quantum geodesics on quantum Minkowski spacetimeLiu C and Majid S
Journal of Physics a: Mathematical and General, Iop Publishing vol. 55 (42)
28-10-2022
Quantum and braided ZX calculusMajid S
Journal of Physics a: Mathematical and Theoretical
01-06-2022
Quantum Riemannian geometry of the discrete interval and q-deformationArgota-Quiroz JN and Majid S
Journal of Mathematical Physics, American Institute of Physics
26-04-2022
Quantum double aspects of surface code modelsCowtan A and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 63 (4)
01-04-2022
Geometric Dirac operator on the fuzzy sphereMajid S and Lira Torres E
Letters in Mathematical Physics, Springer (Part of Springer Nature)
21-01-2022
2021
Fuzzy and discrete black hole models* *The first author was partially supported by CONACyT (México).Argota-Quiroz JN and Majid S
Classical and Quantum Gravity, Iop Publishing vol. 38 (14)
21-06-2021
Quantum gravity and Riemannian geometry on the fuzzy sphereMajid S and Lira Torres E
Letters in Mathematical Physics, Springer (Part of Springer Nature)
05-03-2021
Poisson principal bundlesMajid S and Williams L
Symmetry, Integrability and Geometry: Methods and Applications (Sigma), National Academy of Science of Ukraine
21-01-2021
2020
Quantum gravity on polygons and R x Z_n FLRW modeMajid S and Argota Quiroz J
Classical and Quantum Gravity, Iop Publishing
13-11-2020
Digital quantum groupsMajid S and Pachol A
Journal of Mathematical Physics, Aip Publishing
22-10-2020
Quantum differentials on cross product Hopf algebrasMajid S and AZIZ R
Journal of Algebra, Elsevier
15-07-2020
Digital finite quantum Riemannian geometriesMajid S and Pacho A
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 53 (11)
27-02-2020
Reconstruction and quantization of Riemannian structuresMajid S
Journal of Mathematical Physics, Aip Publishing vol. 61 (2)
01-02-2020
Quantum geometry, logic and probabilityMajid S
Zagadnienia Filozoficzne W Nauce (69), 191-236.
01-01-2020
2019
Quantum gravity on a square graphMajid S
Classical and Quantum Gravity, Iop Publishing vol. 36 (24)
14-11-2019
Generalised noncommutative geometry on finite groups and Hopf quiversMajid S and Tao W-Q
Journal of Noncommutative Geometry, European Mathematical Society - Ems - Publishing House vol. 13 (3), 1055-1116.
04-11-2019
Quantum Riemannian geometry and particle creation on the integer lineMajid S
Classical and Quantum Gravity, Iop Publishing vol. 36 (13)
18-06-2019
Finite Noncommutative Geometries Related to Fp[x]Bassett ME and Majid S
Algebras and Representation Theory, Springer Nature vol. 23 (2), 251-274.
31-01-2019
Co-double bosonisation and dual bases of c q [SL 2] and c q [SL 3]Aziz R and Majid S
Journal of Algebra, Elsevier vol. 518, 75-118.
01-01-2019
2018
Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum GroupsAkylzhanov R, Majid S and Ruzhansky M
Communications in Mathematical Physics, Springer Nature vol. 362 (3), 761-799.
13-08-2018
On the Emergence of the Structure of PhysicsMAJID SH
Philosophical Transactions a: Mathematical, Physical and Engineering Sciences, Royal Society, The
19-03-2018
Classification of digital affine noncommutative geometriesMAJID SH and PACHOL A
Journal of Mathematical Physics, Aip Publishing
01-03-2018
Quantum Koszul formula on quantum spacetimeMAJID SH and WILLIAMS L
Journal of Geometry and Physics, Elsevier
19-02-2018
Quasitriangular structure and twisting of the 3D bicrossproduct modelMAJID SH and Osei P
Journal of High Energy Physics, Springer Verlag (Germany)
30-01-2018
2017
Quantum Bianchi identities via DG categoriesMAJID SH and Beggs EJ
Journal of Geometry and Physics
21-11-2017
Spectral triples from bimodule connections and Chern connectionsMAJID SH and Beggs EJ
Journal of Noncommutative Geometry, European Mathematical Society
29-06-2017
Noncommutative spherically symmetric spacetimes at semiclassical orderFritz C and Majid S
Classical and Quantum Gravity
14-06-2017
Quantum Riemannian geometry of phase space and nonassociativityMAJID SH
Demonstratio Mathematica
16-05-2017
Hodge Star as Braided Fourier TransformMAJID SH
Algebras and Representation Theory, Springer Verlag (Germany)
08-02-2017
Lie theory of finite simple groups and Roth propertyMAJID SH, Lopez Pena J and Rietsch K
Cambridge Philosophical Society: Mathematical Proceedings, Cambridge University Press (Cup): Stm Journals - No Cambridge Open
09-01-2017
2016
Poisson-Riemannian geometryMAJID SH and Beggs EJ
Journal of Geometry and Physics, Elsevier
27-12-2016
Non-commutative Differential GeometryMajid S
In Analysis and Mathematical Physics, World Scientific Publishing 139-176.
21-12-2016
Noncommutative differentials on Poisson–Lie groups and pre-Lie algebrasMajid S and Tao W-Q
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 284 (1), 213-256.
10-07-2016
2015
Duality for generalised differentials on quantum groupsMajid S and Tao W-Q
Journal of Algebra, Elsevier vol. 439, 67-109.
01-10-2015
Cosmological constant from quantum spacetimeMajid S and Tao W-Q
Physical Review D, American Physical Society (Aps) vol. 91 (12)
09-06-2015
2014
The self-representing UniverseMAJID SH
In Mathematical Structures of The Universe, Copernicus Center Press Editors: Szybka S, Heller M and Eckstein M.
09-11-2014
Gravity induced from quantum spacetimeBeggs EJ and Majid S
Classical and Quantum Gravity vol. 31 (3)
01-01-2014
Newtonian gravity on quantum spacetimeMajid S
1ST INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS. vol. 70
01-01-2014
Emergence of Riemannian geometry and the massive gravitonMajid S
2ND INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS. vol. 71
01-01-2014
2013
Noncommutative Riemannian geometry on graphsMajid S
Journal of Geometry and Physics vol. 69, 74-93.
01-01-2013
Lie theory and coverings of finite groupsMajid S and Rietsch K
Journal of Algebra vol. 389, 137-150.
01-01-2013
2012
Quantum spacetime and physical realityPolkinghorne J, Penrose R, Taylor A, Connes A, Heller M and Majid S
In On Space and Time, Cambridge University Press (Cup) 56-140.
26-03-2012
Almost Commutative Riemannian Geometry: Wave OperatorsMajid S
Communications in Mathematical Physics vol. 310 (3), 569-609.
01-01-2012
Emergence of Wave Equations from Quantum GeometryMajid S
SIXTH INTERNATIONAL SCHOOL ON FIELD THEORY AND GRAVITATION-2012. vol. 1483, 169-188.
01-01-2012
2011
Quantum Spaces Associated to Multipermutation Solutions of Level TwoGateva-Ivanova T and Majid S
Algebr Represent Th vol. 14 (2), 341-376.
01-04-2011
Scaling Limit of the Noncommutative Black HoleMajid S
GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS. vol. 284
01-01-2011
q-Fuzzy Spheres and Quantum Differentials on Bq[SU2] and Uq(su2)Majid S
Letters in Mathematical Physics vol. 98 (2), 167-191.
01-01-2011
*-compatible connections in noncommutative Riemannian geometryBeggs EJ and Majid S
J Geom Phys vol. 61 (1), 95-124.
01-01-2011
2010
Nonassociative Riemannian geometry by twistingBeggs E and Majid S
Journal of Physics Conference Series. vol. 254 (1)
01-11-2010
Hopf quasigroups and the algebraic 7-sphereKlim J and Majid S
J Algebra vol. 323 (11), 3067-3110.
01-06-2010
Quantization by cochain twists and nonassociative differentialsBeggs EJ and Majid S
J Math Phys vol. 51 (5)
01-05-2010
Bicrossproduct Hopf quasigroupsKlim J and Majid S
Commentationes Mathematicae Universitatis Carolinae vol. 51 (2), 287-304.
01-01-2010
2009
q-deformation and semidualization in 3D quantum gravityMajid S and Schroers BJ
J Phys a-Math Theor vol. 42 (42)
23-10-2009
Bar Categories and Star OperationsBeggs EJ and Majid S
ALGEBRAS AND REPRESENTATION THEORY. vol. 12 (2-5), 103-152.
01-10-2009
Algebraic approach to Quantum Gravity II: noncommutative spacetimeMajid S
In Approaches to Quantum Gravity, Cambridge University Press (Cup) 466-492.
05-03-2009
2008
Quantisation of Twistor Theory by Cocycle TwistBrain SJ and Majid S
Commun Math Phys vol. 284 (3), 713-774.
01-12-2008
Quantum spacetime and physical realityConnes A, Heller M, Penrose R, Polkinghorne J, Taylor A and Majid S
In On Space and Time, Cambridge University Press (Cup) 56-140.
25-09-2008
Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravityFreidel L and Majid S
Classical Quant Grav vol. 25 (4)
21-02-2008
Matched pairs approach to set theoretic solutions of the Yang-Baxter equationGateva-Ivanova T and Majid S
J Algebra vol. 319 (4), 1462-1529.
15-02-2008
2007
Set-theoretic solutions of the Yang-Baxter equation, graphs and computationsGateva-Ivanova T and Majid S
JOURNAL OF SYMBOLIC COMPUTATION. vol. 42 (11-12), 1079-1112.
01-11-2007
Bicrossproduct approach to the Connes-Moscovici Hopf algebraHadfield T and Majid S
J Algebra vol. 312 (1), 228-256.
01-06-2007
Algebraic approach to quantum gravity III: Non-commmutative riemannian geometryMajid S
Quantum Gravity: Mathematical Models and Experimental Bounds., 77-100. Editors: Fauser B, Tolksdorf J and Zeidler E.
01-01-2007
2006
Bicrossproduct Hopf Algebras and Noncommutative SpacetimeMajid S
In Encyclopedia of Mathematical Physics: Five-Volume Set
01-01-2006
Hopf Algebras and q-Deformation Quantum GroupsMajid S
In Encyclopedia of Mathematical Physics: Five-Volume Set
01-01-2006
2005
Noncommutative model with spontaneous time generation and Planckian boundMajid S
J Math Phys vol. 46 (10)
01-10-2005
Noncommutative Riemannian and spin geometry of the standard q-sphereMajid S
Commun Math Phys vol. 256 (2), 255-285.
01-06-2005
Noncommutative differentials and Yang-Mills on permutation groups S-nMajid S
189-213. Editors: Caenepeel S and VanOystaeyen F.
01-01-2005
Classification of differentials on quantum doubles and finite noncommutative geometryMAJID SH
In Hopf Algebras in Noncommutative Geometry and Physics, Marcel Dekker 167-188.
01-01-2005
2004
Moduli of quantum Riemannian geometries on <= 4 pointsMajid S and Raineri E
J Math Phys vol. 45 (12), 4596-4627.
01-12-2004
Cartan calculus for quantum differentials on bicrossproductsNgakeu F, Majid S and Ezin JP
Acta Appl Math vol. 84 (2), 193-236.
01-11-2004
Braided cyclic cocycles and nonassociative geometryAkrami SE and Majid S
J Math Phys vol. 45 (10), 3883-3911.
01-10-2004
On the Fock space for nonrelativistic anyon fields and braided tensor productsGoldin GA and Majid S
J Math Phys vol. 45 (10), 3770-3787.
01-10-2004
Special issue: Quantum groups and noncommutative geometry - IntroductionMajid S
J Math Phys vol. 45 (10), 3701-3702.
01-10-2004
Noncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebrasMajid S
CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING. vol. 34, 491-518. Editors: Ablamowicz R.
01-01-2004
Braided cyclic cocycles and nonassociative geometryMAJID SH and Akrami SE
J. Math. Phys. vol. 45, 3883-3911.
01-01-2004
2003
Braided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebrasGomez X and Majid S
J Algebra vol. 261 (2), 334-388.
15-03-2003
Noncommutative geometry of angular momentum space U(su(2))Batista E and Majid S
J Math Phys vol. 44 (1), 107-137.
01-01-2003
Noncommutative geometry on the algebra U(su2) and quantization of coadjoint orbitsBatista E and Majid S
GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES. vol. 173, 435-438. Editors: Gazeau JP, Kerner R, Antoine JP, Metens S and Thibon JY.
01-01-2003
Braided line and counting fixed points of GL(d, F-q)Cameron PJ and Majid S
Commun Algebra vol. 31 (4), 2003-2013.
01-01-2003
Relating quantum and braided Lie algebrasMAJID SH and GOMEZ X
In Banach Center Publications Volume No: 44, Banach Center 91-102.
01-01-2003
Noncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unityMajid S
Lett Math Phys vol. 63 (1), 39-54.
01-01-2003
2002
Electromagnetism and gauge theory on the permutation group S-3Majid S and Raineri E
J Geom Phys vol. 44 (2-3), 129-155.
01-12-2002
Z(2) x Z(2) lattice as a Connes-Lott-quantum group modelMajid S and Schucker T
J Geom Phys vol. 43 (1), 1-26.
01-08-2002
Knots and Feynman diagrams, by D. Kreimer. Pp. 272. £21.95. 2000. ISBN 0521 58761 1 (Cambridge University Press).Majid S
The Mathematical Gazette, Cambridge University Press (Cup) vol. 86 (506), 381-383.
01-07-2002
Clifford algebras obtained by twisting of group algebrasAlbuquerque H and Majid S
J Pure Appl Algebra vol. 171 (2-3), 133-148.
25-06-2002
Noncommutative Riemannian geometry of the alternating group A(4)Ngakeu F, Majid S and Lambert D
J Geom Phys vol. 42 (3), 259-282.
01-06-2002
Noncommutative cohomology and electromagnetism on C-q[SL2] at roots of unityGomez X and Majid S
Lett Math Phys vol. 60 (3), 221-237.
01-06-2002
Riemannian geometry of quantum groups and finite groups with nonuniversal differentialsMajid S
Commun Math Phys vol. 225 (1), 131-170.
01-01-2002
2001
Poisson-Lie T-duality for quasitriangular Lie bialgebrasBeggs EJ and Majid S
Commun Math Phys vol. 220 (3), 455-488.
01-07-2001
Noncommutative differential geometry and twisting of quantum groupsMAJID SH
In Quantum Groups and Lie Theory, Cambridge University Press 175-190.
01-01-2001
2000
WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTSAMELINO-CAMELIA G and MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 15 (27), 4301-4323.
30-10-2000
Quantum Geometry of Algebra Factorisations¶and Coalgebra BundlesBrzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 213 (3), 491-521.
01-10-2000
CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETSMAJID S
International Journal of Modern Physics B. vol. 14 (22n23), 2427-2449.
20-09-2000
Quantum groups and noncommutative geometryMajid S
Journal of Mathematical Physics, Aip Publishing vol. 41 (6), 3892-3942.
01-06-2000
Non-commutative geometry and quantum groupsMajid S
Philosophical Transactions of The Royal Society a Mathematical Physical and Engineering Sciences, The Royal Society vol. 358 (1765), 89-109.
15-01-2000
Braided-Lie bialgebrasMajid S
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 192 (2), 329-356.
01-01-2000
Waves on noncommutative space-time and gamma-ray burstsAmelino-Camelia G and Majid S
International Journal of Modern Physics A vol. 15 (27), 4301-4323.
01-01-2000
Meaning of noncommutative geometry and the Planck-scale quantum groupMajid S
TOWARDS QUANTUM GRAVITY. vol. 541, 227-276.
01-01-2000
Twisting of Quantum DifferentialsMajid S and Oeckl R
In Geometry and Quantum Physics, Springer Nature 392-392.
01-01-2000
1999
Quasialgebra Structure of the OctonionsAlbuquerque H and Majid S
Journal of Algebra, Elsevier vol. 220 (1), 188-224.
01-10-1999
Projective Module Description of the q-MonopoleHajac PM and Majid S
Communications in Mathematical Physics, Springer Nature vol. 206 (2), 247-264.
01-10-1999
Twisting of Quantum Differentials and¶the Planck Scale Hopf AlgebraMajid S and Oeckl R
Communications in Mathematical Physics, Springer Nature vol. 205 (3), 617-655.
01-09-1999
DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORYMAJID S
Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 8 (06), 731-771.
01-09-1999
Quasitriangular and Differential Structures on Bicrossproduct Hopf AlgebrasBeggs E and Majid S
Journal of Algebra, Elsevier vol. 219 (2), 682-727.
01-09-1999
Quantum and braided group Riemannian geometryMajid S
Journal of Geometry and Physics, Elsevier vol. 30 (2), 113-146.
01-05-1999
Quantum geometry of field extensionsMajid S
Journal of Mathematical Physics, Aip Publishing vol. 40 (5), 2311-2323.
01-05-1999
Double-bosonization of braided groups and the construction of Uq(g)MAJID S
Mathematical Proceedings of The Cambridge Philosophical Society, Cambridge University Press (Cup) vol. 125 (1), 151-192.
01-01-1999
1998
Some remarks on braided group reconstruction and braided doublesMajid S
Czechoslovak Journal of Physics, Springer Nature vol. 48 (11), 1447-1456.
01-11-1998
Quantum and braided diffeomorphism groupsMajid S
Journal of Geometry and Physics, Elsevier vol. 28 (1-2), 94-128.
01-11-1998
Quantum Differentials and the q-Monopole RevisitedBrzeziński T and Majid S
Acta Applicandae Mathematicae, Springer Nature vol. 54 (2), 185-232.
01-11-1998
Quantum Double for Quasi-Hopf AlgebrasMajid S
Letters in Mathematical Physics, Springer Nature vol. 45 (1), 1-9.
01-07-1998
Classification of bicovariant differential calculiMajid S
Journal of Geometry and Physics, Elsevier vol. 25 (1-2), 119-140.
01-04-1998
Coalgebra BundlesBrzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 191 (2), 467-492.
01-02-1998
Line bundles on quantum spheresBrzeziński T and Majid S
AIP Conference Proceedings. vol. 453 (1), 3-8.
01-01-1998
1997
Fermionic q-Fock space and braided geometryMajid S
Journal of Mathematical Physics, Aip Publishing vol. 38 (9), 4845-4853.
01-09-1997
Quasi-∗ structure on q-Poincaré algebrasMajid S
Journal of Geometry and Physics, Elsevier vol. 22 (1), 14-58.
01-04-1997
Bicross-Product Structure of Affine Quantum GroupsMAJID S
Letters in Mathematical Physics, Springer Nature vol. 39 (3), 243-252.
01-02-1997
Some comments on bosonisation and biproductsMajid S
Czechoslovak Journal of Physics, Springer Nature vol. 47 (2), 151-171.
01-02-1997
New quantum groups by double-bosonisationMajid S
Czechoslovak Journal of Physics, Springer Nature vol. 47 (1), 79-90.
01-01-1997
Anyonic lie algebrasMajid S
Czechoslovak Journal of Physics, Springer Nature vol. 47 (12), 1241-1250.
01-01-1997
Braided geometry and the inductive construction of Lie algebras and quantum groupsMajid S
DEFORMATION THEORY AND SYMPLECTIC GEOMETRY. vol. 20, 339-344.
01-01-1997
Quantum geometry and the Planck scaleMajid S
GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2., 275-284.
01-01-1997
1996
Braided geometry of the conformal algebraMajid S
Journal of Mathematical Physics, Aip Publishing vol. 37 (12), 6495-6509.
01-12-1996
Finite Group Factorizations and BraidingBeggs EJ, Gould JD and Majid S
Journal of Algebra, Elsevier vol. 181 (1), 112-151.
01-04-1996
Glueing operation for R-matrices, quantum groups and link-invariants of Hecke typeMajid S and Markl M
Mathematical Proceedings of The Cambridge Philosophical Society, Cambridge University Press (Cup) vol. 119 (1), 139-166.
01-01-1996
Introduction to braided geometry and q-Minkowski spaceMajid S
QUANTUM GROUPS AND THEIR APPLICATIONS IN PHYSICS. vol. 127, 267-345.
01-01-1996
1995
Nonstandard quantum groups and superizationMajid S and Rodríguez-Plaza MJ
Journal of Mathematical Physics, Aip Publishing vol. 36 (12), 7081-7097.
01-12-1995
SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPSMAJID S
Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 4 (04), 673-697.
01-12-1995
*‐structures on braided spacesMajid S
Journal of Mathematical Physics, Aip Publishing vol. 36 (8), 4436-4449.
01-08-1995
q‐epsilon tensor for quantum and braided spacesMajid S
Journal of Mathematical Physics, Aip Publishing vol. 36 (4), 1991-2007.
01-04-1995
Quantum group Gauge theory on quantum spacesBrzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 167 (1), 235-235.
01-01-1995
1994
Algebraic q‐integration and Fourier theory on quantum and braided spacesKempf A and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 35 (12), 6802-6837.
01-12-1994
Anyonic FRT constructionMajid S and Rodríguez-Plaza MJ
Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1073-1080.
01-11-1994
Some remarks on the quantum doubleMajid S
Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1059-1071.
01-11-1994
q‐Euclidean space and quantum Wick rotation by twistingMajid S
Journal of Mathematical Physics, Aip Publishing vol. 35 (9), 5025-5034.
01-09-1994
Bicrossproduct structure of κ-Poincare group and non-commutative geometryMajid S and Ruegg H
Physics Letters B, Elsevier vol. 334 (3-4), 348-354.
01-08-1994
Random walk and the heat equation on superspace and anyspaceMajid S and Rodríguez-Plaza MJ
Journal of Mathematical Physics, Aip Publishing vol. 35 (7), 3753-3760.
01-07-1994
Braided matrix structure ofq-Minkowski space andq-Poincaré groupMajid S and Meyer U
Zeitschrift FüR Physik C Particles and Fields, Springer Nature vol. 63 (2), 357-362.
01-06-1994
Braided Groups and Quantum Fourier TransformLyubashenko V and Majid S
Journal of Algebra, Elsevier vol. 166 (3), 506-528.
01-06-1994
Quantum and braided-Lie algebrasMajid S
Journal of Geometry and Physics, Elsevier vol. 13 (4), 307-356.
01-05-1994
On the addition of quantum matricesMajid S
Journal of Mathematical Physics, Aip Publishing vol. 35 (5), 2617-2632.
01-05-1994
The quantum double as quantum mechanicsMajid S
Journal of Geometry and Physics, Elsevier vol. 13 (2), 169-202.
01-02-1994
Braided groups of Hopf algebras obtained by twistingGurevich D and Majid S
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 162 (1), 27-44.
01-01-1994
Bicrossproduct Structure of the Quantum Weyl GroupMajid S
Journal of Algebra, Elsevier vol. 163 (1), 68-87.
01-01-1994
Cross Products by Braided Groups and BosonizationMajid S
Journal of Algebra, Elsevier vol. 163 (1), 165-190.
01-01-1994
Lie algebras and braided geometryMajid S
PROCEEDINGS OF THE XXIITH INTERNATIONAL CONFERENCE ON DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS. vol. 4, 61-77.
01-01-1994
1993
Quantum group gauge theory on quantum spacesBrzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 157 (3), 591-638.
01-11-1993
QUANTUM RANDOM WALKS AND TIME REVERSALMAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 8 (25), 4521-4545.
10-10-1993
Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz groupMajid S
Communications in Mathematical Physics, Springer Nature vol. 156 (3), 607-638.
01-10-1993
Free braided differential calculus, braided binomial theorem, and the braided exponential mapMajid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (10), 4843-4856.
01-10-1993
BRAIDED GROUPS AND BRAID STATISTICSMajid S
In Quantum Probability and Related Topics, World Scientific Publishing 281-295.
01-09-1993
The braided Heisenberg groupBaskerville WK and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (8), 3588-3606.
01-08-1993
Quantum and super-quantum group related to the Alexander-Conway polynomialMajid S and Rodríguez-Plaza MJ
Journal of Geometry and Physics, Elsevier vol. 11 (1-4), 437-443.
01-06-1993
Braided groupsMajid S
Journal of Pure and Applied Algebra, Elsevier vol. 86 (2), 187-221.
01-05-1993
Braided momentum in the q‐Poincaré groupMajid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (5), 2045-2058.
01-05-1993
Quantum and braided linear algebraMajid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (3), 1176-1196.
01-03-1993
Transmutation theory and rank for quantum braided groupsMajid S
Mathematical Proceedings of The Cambridge Philosophical Society, Cambridge University Press (Cup) vol. 113 (1), 45-70.
01-01-1993
Quantum group gauge theory on classical spacesBrzeziński T and Majid S
Physics Letters B, Elsevier vol. 298 (3-4), 339-343.
01-01-1993
R-MATRIX BRACKETS AND THEIR QUANTIZATIONDONIN J, GUREVICH D and MAJID S
Annales De L Institut Henri Poincare-Physique Theorique vol. 58 (2), 235-246.
01-01-1993
Anyonic Quantum GroupsMajid S
In Spinors, Twistors, Clifford Algebras and Quantum Deformations, Springer Nature 327-336.
01-01-1993
1992
C -statistical quantum groups and Weyl algebrasMajid S
Journal of Mathematical Physics, Aip Publishing vol. 33 (10), 3431-3444.
01-10-1992
A class of bicovariant differential calculi on hopf algebrasBrzeziński T and Majid S
Letters in Mathematical Physics, Springer Nature vol. 26 (1), 67-78.
01-09-1992
SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATORMACFARLANE AJ and MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 7 (18), 4377-4393.
20-07-1992
Fourier transform identities in quantum mechanics and the quantum lineLyubashenko VV and Majid S
Physics Letters B, Elsevier vol. 284 (1-2), 66-70.
01-06-1992
RANK OF QUANTUM GROUPS AND BRAIDED GROUPS IN DUAL FORMMAJID S
Lecture Notes in Mathematics vol. 1510, 79-89.
01-01-1992
AN OPEN PROBLEM IN QUANTUM GROUPSMAJID S
Lecture Notes in Mathematics vol. 1510, 390-391.
01-01-1992
THE SUPERALGEBRA OSP(1/2) AND A RELATED QUANTUM GROUP-STRUCTURE FOR HARMONIC-OSCILLATOR SYSTEMSMACFARLANE AJ and MAJID S
TOPOLOGICAL AND GEOMETRICAL METHODS IN FIELD THEORY., 227-236.
01-01-1992
1991
Examples of braided groups and braided matricesMajid S
Journal of Mathematical Physics, Aip Publishing vol. 32 (12), 3246-3253.
01-12-1991
RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIESMAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 6 (24), 4359-4374.
10-10-1991
Quantum group structure in a fermionic extension of the quantum harmonic oscillatorMacfarlane AJ and Majid S
Physics Letters B, Elsevier vol. 268 (1), 71-74.
01-10-1991
QUANTUM GROUPS AND QUANTUM PROBABILITYMajid S
In Quantum Probability and Related Topics, World Scientific Publishing 333-358.
01-10-1991
Principle of Representation‐Theoretic Self‐DualityMajid S
Physics Essays, Physics Essays Publication vol. 4 (3), 395-405.
01-09-1991
Braided groups and algebraic quantum field theoriesMajid S
Letters in Mathematical Physics, Springer Nature vol. 22 (3), 167-175.
01-07-1991
Gauge-covariant vacuum expectations and glueballsMajid S
Il Nuovo Cimento a (1971-1996), Springer Nature vol. 104 (7), 949-960.
01-07-1991
Quasi-quantum groups as internal symmetries of topological quantum field theoriesMajid S
Letters in Mathematical Physics, Springer Nature vol. 22 (2), 83-90.
01-06-1991
Mass dependence ofU(1) axial-symmetry breakdownMajid S
Il Nuovo Cimento a (1971-1996), Springer Nature vol. 104 (5), 617-640.
01-05-1991
CHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVEMAJID S and SOIBELMAN YS
International Journal of Modern Physics A, World Scientific Publishing vol. 6 (10), 1815-1827.
20-04-1991
Rank of quantized universal enveloping algebras and modular functionsMajid S and Soibelman YS
Communications in Mathematical Physics, Springer Nature vol. 137 (2), 249-262.
01-04-1991
Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the Classical Yang-Baxter EquationsMajid S
Journal of Functional Analysis, Elsevier vol. 95 (2), 291-319.
01-02-1991
Doubles of quasitriangular hopf algebrasMajid S
Communications in Algebra, Taylor & Francis vol. 19 (11), 3061-3073.
01-01-1991
1990
ON q-REGULARIZATIONMAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 5 (24), 4689-4696.
20-12-1990
Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct constructionMajid S
Journal of Algebra, Elsevier vol. 130 (1), 17-64.
01-04-1990
Fourier transforms on ????/???? and knot invariantsMajid S
Journal of Mathematical Physics, Aip Publishing vol. 31 (4), 924-927.
01-04-1990
More examples of bicrossproduct and double cross product Hopf algebrasMajid S
Israel Journal of Mathematics, Springer Nature vol. 72 (1-2), 133-148.
01-02-1990
QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONSMAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 5 (01), 1-91.
10-01-1990
Matched pairs of Lie groups associated to solutions of the Yang-Baxter equationsMajid S
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 141 (2), 311-332.
01-01-1990
Representation-theoretic rank and double hopf algebrasMajid S
Communications in Algebra, Taylor & Francis vol. 18 (11), 3705-3712.
01-01-1990
MATCHED PAIRS OF TOPOLOGICAL LIE-ALGEBRAS CORRESPONDING TO LIE BIALGEBRA STRUCTURES ON DIFF(S1) AND DIFF(R)BEGGS E and MAJID S
Annales De L Institut Henri Poincare-Physique Theorique vol. 53 (1), 15-34.
01-01-1990
QUANTUM GROUP DUALITY IN VERTEX MODELS AND OTHER RESULTS IN THE THEORY OF QUASI-TRAINGULAR HOPF-ALGEBRASMAJID S
DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS. vol. 245, 373-385.
01-01-1990
1989
Erratum: Liouville theorem for the Yang–Mills self-duality equations [J. Math. Phys. 2 9 , 2303 (1988)]Majid S
Journal of Mathematical Physics, Aip Publishing vol. 30 (7), 1652-1652.
01-07-1989
Canonical arbitrary-spin background-field wave operator and applicationsMajid S
Il Nuovo Cimento a (1971-1996), Springer Nature vol. 101 (6), 857-882.
01-06-1989
Partial waves for the linearized Yang–Mills equation about a monopole backgroundMajid S
Journal of Mathematical Physics, Aip Publishing vol. 30 (5), 1150-1157.
01-05-1989
Matched pairs of lie groups and Hopf algebra bicrossproductsMajid S
Nuclear and Particle Physics Proceedings, Elsevier vol. 6, 422-424.
01-03-1989
1988
Hopf algebras for physics at the Planck scaleMajid S
Classical and Quantum Gravity, Iop Publishing vol. 5 (12)
01-12-1988
Liouville theorem for the Yang–Mills self-duality equationsMajid S
Journal of Mathematical Physics, Aip Publishing vol. 29 (10), 2303-2310.
01-10-1988
Grants
Grants of specific relevance to the Centre for Geometry, Analysis and GravitationHopf algebroids and quantum variational calculusShahn Majid
£253,728 Leverhulme Trust
01-10-2024 - 30-09-2027
HADG - MSCA IF 2020 (PI: Shahn Majid)Shahn Majid
£170,347 EU Commission - Horizon 2020
01-12-2021 - 30-11-2023