Publications: Dr Matthew Fayers
Fayers M, Kleshchev A, Morotti L
(
2024
)
.
Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups
.
Journal of the London Mathematical Society
vol.
109
,
(
2
)
Fayers M
(
2023
)
.
Comparing Fock spaces in types $A^{(1)}$ and $A^{(2)}$
.
Algebraic Combinatorics
vol.
6
,
(
5
)
1347
-
1381
.
Fayers M, 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
vol.
27
,
(
22
)
778
-
814
.
Fayers M
(
2022
)
.
Minimal Partitions with a Given s-Core and t-Core
.
Annals of Combinatorics1
-
32
.
Fayers M
(
2022
)
.
Crystals, regularisation and the Mullineux map
.
Journal of Combinatorial Algebra
vol.
6
,
(
3
)
315
-
352
.
Fayers M
(
2022
)
.
Defect 2 2 spin blocks of symmetric groups and canonical basis coefficients
.
Representation Theory of the American Mathematical Society
vol.
26
,
(
06
)
134
-
178
.
Fayers M
(
2020
)
.
Irreducible projective representations of the alternating group which remain irreducible in characteristic 2
.
Advances in Mathematics
Fayers M
(
2020
)
.
2-chains: an interesting family of posets
.
Discrete Mathematics
FAYERS M
(
2018
)
.
Simultaneous core multipartitions
.
European Journal of Combinatorics
vol.
76
,
FAYERS M
(
2017
)
.
Irreducible projective representations of the symmetric group which remain irreducible in characteristic 2
.
Proceedings of the London Mathematical Society
FAYERS M
(
2016
)
.
Dyck tilings and the homogeneous Garnir relations for graded Specht modules
.
Journal of Algebraic Combinatorics: an international journal
FAYERS M
(
2016
)
.
(s,t)-cores: a weighted version of Armstrong's conjecture
.
Electronic Journal of Combinatorics
vol.
23
,
(
4
)
Fayers M, Speyer L
(
2016
)
.
Generalised column removal for graded homomorphisms between Specht modules
.
Journal of Algebraic Combinatorics
vol.
44
,
(
2
)
393
-
432
.
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
.
Fayers M
(
2014
)
.
A generalisation of core partitions
.
JOURNAL OF COMBINATORIAL THEORY SERIES A
vol.
127
,
58
-
84
.
Barshevsky O, Fayers M, 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
.
Fayers M, Lyle S
(
2013
)
.
The reducible Specht modules for the Hecke algebra <i>H</i><sub>C,-1</sub>(O<i><sub>n</sub></i>)
.
JOURNAL OF ALGEBRAIC COMBINATORICS
vol.
37
,
(
2
)
201
-
241
.
Fayers M
(
2012
)
.
An algorithm for semistandardising homomorphisms
.
JOURNAL OF ALGEBRA
vol.
364
,
38
-
51
.
FAYERS M
(
2012
)
.
Irreducible Specht modules for Iwahori-Hecke algebras of type B
.
Represent. Theory
vol.
16
,
108
-
126
.
Dodge CJ, Fayers M
(
2012
)
.
Some new decomposable Specht modules
.
JOURNAL OF ALGEBRA
vol.
357
,
235
-
262
.
Fayers M
(
2011
)
.
The t-core of an s-core
.
J COMB THEORY A
vol.
118
,
(
5
)
1525
-
1539
.
Fayers M
(
2010
)
.
An LLT-type algorithm for computing higher-level canonical bases
.
J PURE APPL ALGEBRA
vol.
214
,
(
12
)
2186
-
2198
.
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
.
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
vol.
14
,
(
16
)
601
-
626
.
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
.
Fayers M
(
2009
)
.
General runner removal and the Mullineux map
.
J ALGEBRA
vol.
322
,
(
12
)
4331
-
4367
.
Fayers M, Lyle S
(
2009
)
.
Some reducible Specht modules for Iwahori-Hecke algebras of type A with q =-1
.
J ALGEBRA
vol.
321
,
(
3
)
912
-
933
.
Fayers M
(
2008
)
.
Regularisation and the Mullineux map
.
ELECTRON J COMB
vol.
15
,
(
1
)
Article
R142
,
Fayers M
(
2008
)
.
Weights of multipartitions and representations of Ariki-Koike algebras II: Canonical bases
.
J ALGEBRA
vol.
319
,
(
7
)
2963
-
2978
.
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
.
Fayers M
(
2007
)
.
James's Conjecture holds for weight four blocks of Iwahori-Hecke algebras
.
J ALGEBRA
vol.
317
,
(
2
)
593
-
633
.
Fayers M
(
2007
)
.
q-Analogues of regularisation theorems for linear and projective representations of the symmetric group
.
J ALGEBRA
vol.
316
,
(
1
)
346
-
367
.
Fayers M
(
2007
)
.
Core blocks of Ariki-Koike algebras
.
J ALGEBR COMB
vol.
26
,
(
1
)
47
-
81
.
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
.
Fayers M, Tan KM
(
2007
)
.
The ordinary quiver of a weight three block of the symmetric group is bipartite
.
ADV MATH
vol.
209
,
(
1
)
69
-
98
.
Fayers M
(
2007
)
.
An Extension of James's Conjecture
.
INT MATH RES NOTICES
Article
rnm032
,
Fayers M, Tan KM
(
2006
)
.
Adjustment matrices for weight three blocks of Iwahori-Hecke algebras
.
J ALGEBRA
vol.
306
,
(
1
)
76
-
103
.
Fayers M, Lyle S, Martin S
(
2006
)
.
p-restriction of partitions and homomorphisms between Specht modules
.
J ALGEBRA
vol.
306
,
(
1
)
175
-
190
.
Fayers M
(
2006
)
.
Weights of multipartitions and representations of Ariki-Koike algebras
.
ADV MATH
vol.
206
,
(
1
)
112
-
144
.
Fayers M
(
2006
)
.
Weight two blocks of Iwahori-Hecke algebras of type B
.
J ALGEBRA
vol.
303
,
(
1
)
154
-
201
.
Fayers M
(
2005
)
.
Weight two blocks of Iwahori-Hecke algebras in characteristic two
.
MATH PROC CAMBRIDGE
vol.
139
,
385
-
397
.
Fayers M
(
2005
)
.
q-Schur subalgebras
.
ALGEBR REPRESENT TH
vol.
8
,
(
3
)
415
-
426
.
Fayers M
(
2005
)
.
0-Hecke algebras of finite Coxeter groups
.
J PURE APPL ALGEBRA
vol.
199
,
(
1-3
)
27
-
41
.
Fayers M
(
2005
)
.
Irreducible Specht modules for Hecke algebras of type A
.
ADV MATH
vol.
193
,
(
2
)
438
-
452
.
Fayers M
(
2005
)
.
Multiple-elimination knockout tournaments with the fixed-win property
.
DISCRETE MATH
vol.
290
,
(
1
)
89
-
97
.
Fayers M
(
2004
)
.
Reducible Specht modules
.
J ALGEBRA
vol.
280
,
(
2
)
500
-
504
.
Fayers M, Martin S
(
2004
)
.
Homomorphisms between Specht modules
.
MATH Z
vol.
248
,
(
2
)
395
-
421
.
Fayers M, Lyle S
(
2003
)
.
Row and column removal theorems for homomorphisms between Specht modules
.
J PURE APPL ALGEBRA
vol.
185
,
(
1-3
)
147
-
164
.
Fayers M, Martin S
(
2003
)
.
General vertices in ordinary quivers for symmetric group algebras
.
J ALGEBRA
vol.
263
,
(
1
)
88
-
118
.
Fayers M
(
2003
)
.
On the structure of Specht modules
.
J LOND MATH SOC
vol.
67
,
85
-
102
.
Fayers M
(
2002
)
.
On weight three blocks of symmetric groups in characteristic three
.
Q J MATH
vol.
53
,
403
-
419
.
Fayers M
(
2002
)
.
On the blocks of E-13 over a field of characteristic three
.
MATH PROC CAMBRIDGE
vol.
133
,
1
-
29
.
Fayers M
(
2002
)
.
Schur subalgebras II
.
J ALGEBRA
vol.
252
,
(
2
)
300
-
321
.
Fayers M, Martin S
(
2001
)
.
Schur subalgebras
.
J ALGEBRA
vol.
240
,
(
2
)
859
-
873
.