Dr Matthew Fayers

Research

Representation theory, Algebraic combinatorics, Finite groups, Hecke algebras, Quantum algebra

Publications

Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory

2024

Fayers M, Kleshchev A and Morotti L (2024). Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups. Journal of the London Mathematical Society, Wiley vol. 109 (2) 

DOI 10.1112/jlms.12852

QMRO

31-01-2024

2023

Fayers M (2023). Comparing Fock spaces in types $A^{(1)}$ and $A^{(2)}$. Algebraic Combinatorics, Cellule MathDoc/CEDRAM vol. 6 (5), 1347-1381.  

DOI 10.5802/alco.300

QMRO

07-11-2023

Fayers M and Morotti L (2023). On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 3. Representation Theory of the American Mathematical Society, American Mathematical Society (AMS) vol. 27 (22), 778-814.  

DOI 10.1090/ert/654

QMRO

11-09-2023

2022

Fayers M (2022). Minimal Partitions with a Given s-Core and t-Core. Annals of Combinatorics, Springer, 1-32.  

DOI 10.1007/s00026-022-00577-4

QMRO

25-08-2022

Fayers M (2022). Defect 2 2 spin blocks of symmetric groups and canonical basis coefficients. Representation Theory of the American Mathematical Society, American Mathematical Society (AMS) vol. 26 (06), 134-178.  

DOI 10.1090/ert/600

QMRO

17-03-2022

Fayers M (2022). Crystals, regularisation and the Mullineux map. Journal of Combinatorial Algebra, European Mathematical Society - EMS - Publishing House GmbH vol. 6 (3), 315-352.  

DOI 10.4171/jca/59

QMRO

01-01-2022

2020

Fayers M (2020). Irreducible projective representations of the alternating group which remain irreducible in characteristic 2. Advances in Mathematics, Elsevier 

DOI 10.1016/j.aim.2020.107340

QMRO

05-08-2020

Fayers M (2020). 2-chains: an interesting family of posets. Discrete Mathematics, Elsevier 

DOI 10.1016/j.disc.2020.111988

QMRO

23-05-2020

2018

FAYERS M (2018). Simultaneous core multipartitions. European Journal of Combinatorics, Elsevier vol. 76 

DOI 10.1016/j.ejc.2018.09.012

QMRO

29-10-2018

2017

FAYERS M (2017). Irreducible projective representations of the symmetric group which remain irreducible in characteristic 2. Proceedings of the London Mathematical Society, London Mathematical Society 

DOI 10.1112/plms.12087

QMRO

08-12-2017

2016

FAYERS M (2016). Dyck tilings and the homogeneous Garnir relations for graded Specht modules. Journal of Algebraic Combinatorics: an international journal, Springer Verlag (Germany) 

DOI 10.1007/s10801-016-0734-2

QMRO

27-12-2016

FAYERS M (2016). (s,t)-cores: a weighted version of Armstrong's conjecture. Electronic Journal of Combinatorics vol. 23 (4) 

DOI 10.37236/6161

QMRO

25-11-2016

Fayers M and Speyer L (2016). Generalised column removal for graded homomorphisms between Specht modules. Journal of Algebraic Combinatorics, Springer Nature vol. 44 (2), 393-432.  

DOI 10.1007/s10801-016-0674-x

17-03-2016

2015

Fayers M (2015). THE IRREDUCIBLE REPRESENTATIONS OF THE ALTERNATING GROUP WHICH REMAIN IRREDUCIBLE IN CHARACTERISTIC p. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY vol. 368 (8), 5807-5855.  

DOI 10.1090/tran/6531

QMRO

03-12-2015

2014

Fayers M (2014). A generalisation of core partitions. JOURNAL OF COMBINATORIAL THEORY SERIES A vol. 127, 58-84.  

DOI 10.1016/j.jcta.2014.05.006

QMRO

01-01-2014

2013

Fayers M and Lyle S (2013). The reducible Specht modules for the Hecke algebra H_C,-1(O_n). JOURNAL OF ALGEBRAIC COMBINATORICS vol. 37 (2), 201-241.  

DOI 10.1007/s10801-012-0360-6

01-01-2013

Barshevsky O, Fayers M and Schaps M (2013). A NON-RECURSIVE CRITERION FOR WEIGHTS OF A HIGHEST-WEIGHT MODULE FOR AN AFFINE LIE ALGEBRA. ISRAEL JOURNAL OF MATHEMATICS vol. 197 (1), 237-261.  

DOI 10.1007/s11856-013-0031-x

01-01-2013

2012

Dodge CJ and Fayers M (2012). Some new decomposable Specht modules. JOURNAL OF ALGEBRA vol. 357, 235-262.  

DOI 10.1016/j.jalgebra.2012.01.035

01-01-2012

Fayers M (2012). An algorithm for semistandardising homomorphisms. JOURNAL OF ALGEBRA vol. 364, 38-51.  

DOI 10.1016/j.jalgebra.2012.04.020

01-01-2012

FAYERS M (2012). Irreducible Specht modules for Iwahori-Hecke algebras of type B. Represent. Theory vol. 16, 108-126.  

DOI 10.1090/S1088-4165-2012-00412-5

01-01-2012

2011

Fayers M (2011). The t-core of an s-core. J COMB THEORY A vol. 118 (5), 1525-1539.  

DOI 10.1016/j.jcta.2011.01.004

01-07-2011

2010

Fayers M (2010). An LLT-type algorithm for computing higher-level canonical bases. J PURE APPL ALGEBRA vol. 214 (12), 2186-2198.  

DOI 10.1016/j.jpaa.2010.02.021

01-12-2010

Fayers M (2010). Partition models for the crystal of the basic U-q((sl)over-cap(n))-module. J ALGEBR COMB vol. 32 (3), 339-370.  

DOI 10.1007/s10801-010-0217-9

01-11-2010

Fayers M (2010). On the irreducible representations of the alternating group which remain irreducible in characteristic p p. Representation Theory of the American Mathematical Society, American Mathematical Society (AMS) vol. 14 (16), 601-626.  

DOI 10.1090/s1088-4165-2010-00390-8

01-09-2010

Fayers M (2010). On the irreducible Specht modules for Iwahori-Hecke algebras of type A with q =-1. J ALGEBRA vol. 323 (6), 1839-1844.  

DOI 10.1016/j.jalgebra.2010.01.009

15-03-2010

2009

Fayers M (2009). General runner removal and the Mullineux map. J ALGEBRA vol. 322 (12), 4331-4367.  

DOI 10.1016/j.jalgebra.2009.09.027

15-12-2009

Fayers M and Lyle S (2009). Some reducible Specht modules for Iwahori-Hecke algebras of type A with q =-1. J ALGEBRA vol. 321 (3), 912-933.  

DOI 10.1016/j.jalgebra.2008.11.006

01-02-2009

2008

Fayers M (2008). Regularisation and the Mullineux map. ELECTRON J COMB vol. 15 (1) 

DOI 10.37236/866

24-11-2008

Fayers M (2008). Weights of multipartitions and representations of Ariki-Koike algebras II: Canonical bases. J ALGEBRA vol. 319 (7), 2963-2978.  

DOI 10.1016/j.jalgebra.2007.10.002

01-04-2008

Fayers M (2008). Decomposition numbers for weight three blocks of symmetric groups and Iwahori-Hecke algebras. T AM MATH SOC vol. 360 (3), 1341-1376.  

DOI 10.1090/s0002-9947-07-04156-6

01-01-2008

2007

Fayers M (2007). James's Conjecture holds for weight four blocks of Iwahori-Hecke algebras. J ALGEBRA vol. 317 (2), 593-633.  

DOI 10.1016/j.jalgebra.2007.08.006

15-11-2007

Fayers M (2007). q-Analogues of regularisation theorems for linear and projective representations of the symmetric group. J ALGEBRA vol. 316 (1), 346-367.  

DOI 10.1016/j.jalgebra.2007.01.036

01-10-2007

Fayers M (2007). Core blocks of Ariki-Koike algebras. J ALGEBR COMB vol. 26 (1), 47-81.  

DOI 10.1007/s10801-006-0048-x

01-08-2007

Fayers M (2007). Another runner removal theorem for v-decomposition numbers of Iwahori-Hecke algebras and q-Schur algebras. J ALGEBRA vol. 310 (1), 396-404.  

DOI 10.1016/j.jalgebra.2006.12.021

01-04-2007

Fayers M and Tan KM (2007). The ordinary quiver of a weight three block of the symmetric group is bipartite. ADV MATH vol. 209 (1), 69-98.  

DOI 10.1016/j.aim.2006.04.007

15-02-2007

Fayers M (2007). An Extension of James's Conjecture. INT MATH RES NOTICES 

DOI 10.1093/imrn/rnm032

01-01-2007

2006

Fayers M and Tan KM (2006). Adjustment matrices for weight three blocks of Iwahori-Hecke algebras. J ALGEBRA vol. 306 (1), 76-103.  

DOI 10.1016/j.jalgebra.2006.01.054

01-12-2006

Fayers M, Lyle S and Martin S (2006). p-restriction of partitions and homomorphisms between Specht modules. J ALGEBRA vol. 306 (1), 175-190.  

DOI 10.1016/j.jalgebra.2005.11.040

01-12-2006

Fayers M (2006). Weights of multipartitions and representations of Ariki-Koike algebras. ADV MATH vol. 206 (1), 112-144.  

DOI 10.1016/j.aim.2005.07.017

20-10-2006

Fayers M (2006). Weight two blocks of Iwahori-Hecke algebras of type B. J ALGEBRA vol. 303 (1), 154-201.  

DOI 10.1016/j.jalgebra.2006.05.006

01-09-2006

2005

Fayers M (2005). Weight two blocks of Iwahori-Hecke algebras in characteristic two. MATH PROC CAMBRIDGE vol. 139, 385-397.  

DOI 10.1017/S0305004105008637

01-11-2005

Fayers M (2005). q-Schur subalgebras. ALGEBR REPRESENT TH vol. 8 (3), 415-426.  

DOI 10.1007/s10468-005-8146-3

01-08-2005

Fayers M (2005). 0-Hecke algebras of finite Coxeter groups. J PURE APPL ALGEBRA vol. 199 (1-3), 27-41.  

DOI 10.1016/j.jpaa.2004.12.001

01-07-2005

Fayers M (2005). Irreducible Specht modules for Hecke algebras of type A. ADV MATH vol. 193 (2), 438-452.  

DOI 10.1016/j.aim.2004.06.001

01-06-2005

Fayers M (2005). Multiple-elimination knockout tournaments with the fixed-win property. DISCRETE MATH vol. 290 (1), 89-97.  

DOI 10.1016/j.disc.2004.10.006

28-01-2005

2004

Fayers M (2004). Reducible Specht modules. J ALGEBRA vol. 280 (2), 500-504.  

DOI 10.1016/j.algebra.2003.09.053

15-10-2004

Fayers M and Martin S (2004). Homomorphisms between Specht modules. MATH Z vol. 248 (2), 395-421.  

DOI 10.1007/s00209-004-0662-z

01-10-2004

2003

Fayers M and Lyle S (2003). Row and column removal theorems for homomorphisms between Specht modules. J PURE APPL ALGEBRA vol. 185 (1-3), 147-164.  

DOI 10.1016/S0022-4049(03)00099-9

01-12-2003

Fayers M and Martin S (2003). General vertices in ordinary quivers for symmetric group algebras. J ALGEBRA vol. 263 (1), 88-118.  

DOI 10.1016/S0021-8693(03)00071-1

01-05-2003

Fayers M (2003). On the structure of Specht modules. J LOND MATH SOC vol. 67, 85-102.  

DOI 10.1112/S0024610702003824

01-02-2003

2002

Fayers M (2002). On weight three blocks of symmetric groups in characteristic three. Q J MATH vol. 53, 403-419.  

DOI 10.1093/qjmath/53.4.403

01-12-2002

Fayers M (2002). On the blocks of E-13 over a field of characteristic three. MATH PROC CAMBRIDGE vol. 133, 1-29.  

DOI 10.1017/S0305004101005758

01-07-2002

Fayers M (2002). Schur subalgebras II. J ALGEBRA vol. 252 (2), 300-321.  

DOI 10.1016/s0021-8693(02)00066-2

15-06-2002

2001

Fayers M and Martin S (2001). Schur subalgebras. J ALGEBRA vol. 240 (2), 859-873.  

DOI 10.1006/jabr.2000.8744

15-06-2001

Grants

Grants of specific relevance to the Centre for Combinatorics, Algebra and Number Theory

Irreducible modular representations
Matthew Fayers
£65,811 EPSRC Engineering and Physical Sciences Research Council (01-07-2022 - 31-12-2022)