-
2
-
-
0030327742
-
On the decomposition numbers of the Hecke algebra of type G(M, 1, n)
-
MR 98h:20012
-
S. Ariki, On the decomposition numbers of the Hecke algebra of type G(m, 1, n), J. Math. Kyoto Univ. 36 (1996), 789–808. MR 98h:20012
-
(1996)
J. Math. Kyoto Univ
, vol.36
, pp. 789-808
-
-
Ariki, S.1
-
3
-
-
85009753695
-
On the classification of simple modules for cyclotomic Hecke algebras of type G(M, 1, n) and Kleshchev multipartitions
-
S. Ariki, On the classification of simple modules for cyclotomic Hecke algebras of type G(m, 1, n) and Kleshchev multipartitions, to appear in Osaka J. Math
-
Osaka J. Math
-
-
Ariki, S.1
-
4
-
-
0001555434
-
A Hecke algebra of (Z/rZ) o Sn and construction of its irreducible representations
-
MR 95h:20006
-
S. Ariki and K. Koike, A Hecke algebra of (Z/rZ) o Sn and construction of its irreducible representations, Advances Math. 106 (1994), 216–243. MR 95h:20006
-
(1994)
Advances Math
, vol.106
, pp. 216-243
-
-
Ariki, S.1
Koike, K.2
-
5
-
-
0034347335
-
The number of simple modules of the Hecke algebras of type G(R, 1, n)
-
MR 2001e:20007
-
S. Ariki and A. Mathas, The number of simple modules of the Hecke algebras of type G(r, 1, n), Math. Z. 233 (2000), 601-623. MR 2001e:20007
-
(2000)
Math. Z
, vol.233
, pp. 601-623
-
-
Ariki, S.1
Mathas, A.2
-
6
-
-
49349125897
-
The diamond lemma for ring theory
-
MR 81b:16001
-
G. Bergman, The diamond lemma for ring theory, Advances Math. 29 (1978), 178–218. MR 81b:16001
-
(1978)
Advances Math
, vol.29
, pp. 178-218
-
-
Bergman, G.1
-
7
-
-
84972565130
-
Induced representations of reductive p-adic groups, I
-
MR 58:28310
-
I. Bernstein and A. Zelevinsky, Induced representations of reductive p-adic groups, I, Ann. Sci. Ecole Norm. Sup. 10 (1977), 441–472. MR 58:28310
-
(1977)
Ann. Sci. Ecole Norm. Sup
, vol.10
, pp. 441-472
-
-
Bernstein, I.1
Zelevinsky, A.2
-
8
-
-
0000183764
-
Modular branching rules and the Mullineux map for Hecke algebras of type A
-
MR 2000d:20007
-
J. Brundan, Modular branching rules and the Mullineux map for Hecke algebras of type A, Proc. London Math. Soc. 77 (1998), 551–581. MR 2000d:20007
-
(1998)
Proc. London Math. Soc
, vol.77
, pp. 551-581
-
-
Brundan, J.1
-
9
-
-
0002525883
-
Translation functors for general linear and symmetric groups
-
MR 2000j:20080
-
J. Brundan and A. Kleshchev, Translation functors for general linear and symmetric groups, Proc. London Math. Soc. 80 (2000), 75–106. MR 2000j:20080
-
(2000)
Proc. London Math. Soc
, vol.80
, pp. 75-106
-
-
Brundan, J.1
Kleshchev, A.2
-
10
-
-
85009783525
-
Projective representations of the symmetric group via Sergeev duality
-
J. Brundan and A. Kleshchev, Projective representations of the symmetric group via Sergeev duality, to appear in Math. Z.
-
Math. Z
-
-
Brundan, J.1
Kleshchev, A.2
-
11
-
-
84963044016
-
Representations of Hecke algebras of general linear groups
-
MR 88b:20065
-
R. Dipper and G. James, Representations of Hecke algebras of general linear groups. Proc. London Math. Soc. 52 (1986), 20–52. MR 88b:20065
-
(1986)
Proc. London Math. Soc
, vol.52
, pp. 20-52
-
-
Dipper, R.1
James, G.2
-
14
-
-
85009761871
-
Strong multiplicity one theorem for affine Hecke algebras of type A
-
to appear
-
I. Grojnowski and M. Vazirani, Strong multiplicity one theorem for affine Hecke algebras of type A, Transf. Groups., to appear.
-
Transf. Groups
-
-
Grojnowski, I.1
Vazirani, M.2
-
15
-
-
84963048933
-
Blocks of projective representations of the symmetric groups
-
MR 87k:20027
-
J. F. Humphreys, Blocks of projective representations of the symmetric groups, J. London Math. Soc. 33 (1986), 441–452. MR 87k:20027
-
(1986)
J. London Math. Soc
, vol.33
, pp. 441-452
-
-
Humphreys, J.F.1
-
16
-
-
84963044139
-
On the representation theory of the symmetric groups
-
MR 93k:20026
-
J. C. Jantzen and G. M. Seitz, On the representation theory of the symmetric groups, Proc. London Math. Soc. 65 (1992), 475–504. MR 93k:20026
-
(1992)
Proc. London Math. Soc
, vol.65
, pp. 475-504
-
-
Jantzen, J.C.1
Seitz, G.M.2
-
17
-
-
0009383769
-
Affine Sergeev algebra and q-analogues of the Young sym-metrizers for projective representations of the symmetric group
-
MR 2000a:20021
-
A. Jones and M. Nazarov, Affine Sergeev algebra and q-analogues of the Young sym-metrizers for projective representations of the symmetric group, Proc. London Math. Soc. 78 (1999), 481–512. MR 2000a:20021
-
(1999)
Proc. London Math. Soc
, vol.78
, pp. 481-512
-
-
Jones, A.1
Nazarov, M.2
-
18
-
-
85009793854
-
-
Cambridge University Press, third edition, MR 92k:17038
-
V. Kac, Infinite-dimensional Lie algebras, Cambridge University Press, third edition, 1990. MR 92k:17038
-
(1990)
Infinite-Dimensional Lie Algebras
-
-
Kac, V.1
-
20
-
-
0000288586
-
On crystal bases, in: Representations of groups (Banff 1994)
-
MR 97a:17016
-
M. Kashiwara, “On crystal bases”, in: Representations of groups (Banff 1994), CMS Conf. Proc. 16 (1995), 155–197. MR 97a:17016
-
(1995)
CMS Conf. Proc
, vol.16
, pp. 155-197
-
-
Kashiwara, M.1
-
21
-
-
0002641987
-
Geometric construction of crystal bases
-
MR 99e:17025
-
M. Kashiwara and Y. Saito, Geometric construction of crystal bases, Duke Math. J. 89 (1997), 9–36. MR 99e:17025
-
(1997)
Duke Math. J
, vol.89
, pp. 9-36
-
-
Kashiwara, M.1
Saito, Y.2
-
22
-
-
0000037301
-
Irreducibility of principal series representations for Hecke algebras of affine type
-
MR 84b:22029
-
S. Kato, Irreducibility of principal series representations for Hecke algebras of affine type, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981), 929–943. MR 84b:22029
-
(1981)
J. Fac. Sci. Univ. Tokyo Sect. IA Math
, vol.28
, pp. 929-943
-
-
Kato, S.1
-
23
-
-
0000453228
-
Branching rules for modular representations of symmetric groups II
-
MR 96m:20019b
-
A. Kleshchev, Branching rules for modular representations of symmetric groups II, J. Reine Angew. Math. 459 (1995), 163–212. MR 96m:20019b
-
(1995)
J. Reine Angew. Math
, vol.459
, pp. 163-212
-
-
Kleshchev, A.1
-
24
-
-
0030209062
-
Branching rules for modular representations of symmetric groups III: Some corollaries and a problem of Mullineux
-
MR 96m:20019c
-
A. Kleshchev, Branching rules for modular representations of symmetric groups III: some corollaries and a problem of Mullineux, J. London Math. Soc. 54 (1996), 25–38. MR 96m:20019c
-
(1996)
J. London Math. Soc
, vol.54
, pp. 25-38
-
-
Kleshchev, A.1
-
25
-
-
0001408738
-
Branching rules for modular representations of symmetric groups IV
-
MR 99d:20019
-
A. Kleshchev, Branching rules for modular representations of symmetric groups IV, J. Algebra 201 (1998), 547–572. MR 99d:20019
-
(1998)
J. Algebra
, vol.201
, pp. 547-572
-
-
Kleshchev, A.1
-
26
-
-
0000394838
-
On decomposition numbers and branching coefficients for symmetric and special linear groups
-
MR 98g:20026
-
A. Kleshchev, On decomposition numbers and branching coefficients for symmetric and special linear groups, Proc. London Math. Soc. 75 (1997), 497–558. MR 98g:20026
-
(1997)
Proc. London Math. Soc
, vol.75
, pp. 497-558
-
-
Kleshchev, A.1
-
27
-
-
0001386626
-
Hecke algebras at roots of unity and crystal bases of quantum affine algebras
-
MR 97k:17019
-
A. Lascoux, B. Leclerc and J.-Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Phys. 181 (1996), 205–263. MR 97k:17019
-
(1996)
Comm. Math. Phys
, vol.181
, pp. 205-263
-
-
Lascoux, A.1
Leclerc, B.2
Thibon, J.-Y.3
-
28
-
-
1842431138
-
Canonical bases of q-deformed Fock spaces, Internat
-
MR 97h:17023
-
B. Leclerc and J.-Y. Thibon, Canonical bases of q-deformed Fock spaces, Internat. Math. Res. Notices 9 (1996), 447–456. MR 97h:17023
-
(1996)
Math. Res. Notices
, vol.9
, pp. 447-456
-
-
Leclerc, B.1
Thibon, J.-Y.2
-
29
-
-
0031558433
-
Q-Deformed Fock spaces and modular representations of spin symmetric groups
-
MR 99c:17029
-
B. Leclerc and J.-Y. Thibon, q-Deformed Fock spaces and modular representations of spin symmetric groups, J. Phys. A 30 (1997), 6163–6176. MR 99c:17029
-
(1997)
J. Phys. A
, vol.30
, pp. 6163-6176
-
-
Leclerc, B.1
Thibon, J.-Y.2
-
30
-
-
84951367352
-
Introduction to the theory of supermanifolds
-
D.A. Leites, Introduction to the theory of supermanifolds, Russian Math. Surveys 35 (1980), 1–64.
-
(1980)
Russian Math. Surveys
, vol.35
, pp. 1-64
-
-
Leites, D.A.1
-
31
-
-
0037805003
-
Categories for the working mathematician
-
Springer-Verlag, MR 50:7275
-
S. MacLane, Categories for the working mathematician, Graduate Texts in Mathematics 5, Springer-Verlag, 1971. MR 50:7275
-
(1971)
Graduate Texts in Mathematics
, vol.5
-
-
Maclane, S.1
-
32
-
-
0003447905
-
Gauge field theory and complex geometry
-
second edition, Springer, MR 99e:32001
-
Yu I. Manin, Gauge field theory and complex geometry, Grundlehren der Mathematischen Wissenschaften 289, second edition, Springer, 1997. MR 99e:32001
-
(1997)
Grundlehren Der Mathematischen Wissenschaften
, vol.289
-
-
Yu, I.M.1
-
33
-
-
0002641748
-
Crystal base for the basic representation of Uq(Sl(n))
-
MR 91j:17021
-
K. Misra and T. Miwa, Crystal base for the basic representation of Uq(sl(n)), Comm. Math. Phys. 134 (1990), 79–88. MR 91j:17021
-
(1990)
Comm. Math. Phys
, vol.134
, pp. 79-88
-
-
Misra, K.1
Miwa, T.2
-
34
-
-
0001599082
-
The spin representations of the symmetric group
-
MR 31:240 involving shifted Young diagrams, Math. Proc. Camb. Phil. Soc. 99 (1986), 23-31
-
A.O. Morris, The spin representations of the symmetric group, Canad. J. Math. 17 (1965), 543-549. MR 31:240 involving shifted Young diagrams, Math. Proc. Camb. Phil. Soc. 99 (1986), 23-31.
-
(1965)
Canad. J. Math
, vol.17
, pp. 543-549
-
-
Morris, A.O.1
-
35
-
-
0031562872
-
Young’s symmetrizers for projective representations of the symmetric group
-
MR 98m:20019
-
M. Nazarov, Young’s symmetrizers for projective representations of the symmetric group, Advances Math. 127 (1997), 190–257. MR 98m:20019
-
(1997)
Advances Math
, vol.127
, pp. 190-257
-
-
Nazarov, M.1
-
36
-
-
0007110636
-
A new approach to representation theory of symmetric groups
-
MR 99g:20024
-
A. Okounkov and A. Vershik, A new approach to representation theory of symmetric groups. Selecta Math. (N.S.) 2 (1996), 581–605. MR 99g:20024
-
(1996)
Selecta Math. (N.S.)
, vol.2
, pp. 581-605
-
-
Okounkov, A.1
Vershik, A.2
-
37
-
-
0002389507
-
Quantized universal enveloping superalgebra of type Q and a super-extension of the Hecke algebra
-
MR 93i:17004
-
G. Olshanski, Quantized universal enveloping superalgebra of type Q and a super-extension of the Hecke algebra, Lett. Math. Phys. 24 (1992), 93–102. MR 93i:17004
-
(1992)
Lett. Math. Phys
, vol.24
, pp. 93-102
-
-
Olshanski, G.1
-
38
-
-
0001057520
-
The Hall algebra of a cyclic quiver and canonical bases of Fock spaces
-
MR 2001g:16032
-
O. Schiffmann, The Hall algebra of a cyclic quiver and canonical bases of Fock spaces, Internat. Math. Res. Notices 8 (2000), 413–440. MR 2001g:16032
-
(2000)
Internat. Math. Res. Notices
, vol.8
, pp. 413-440
-
-
Schiffmann, O.1
-
39
-
-
84954069421
-
Tensor algebra of the identity representation as a module over the Lie super-algebras GL(N, m) and Q(n)
-
MR 2000j:20021
-
A. N. Sergeev, Tensor algebra of the identity representation as a module over the Lie super-algebras GL(n, m) and Q(n), Math. USSR Sbornik 51 (1985), 419–427. MR 2000j:20021
-
(1985)
Math. USSR Sbornik
, vol.51
, pp. 419-427
-
-
Sergeev, A.N.1
-
40
-
-
85009783328
-
The Howe duality and the projective representations of symmetric groups
-
MR 2001c:17029
-
A. N. Sergeev, The Howe duality and the projective representations of symmetric groups, Represent. Theory 3 (1999), 416–434. MR 2001c:17029
-
(1999)
Represent. Theory
, vol.3
, pp. 416-434
-
-
Sergeev, A.N.1
-
41
-
-
0033570875
-
On the decomposition matrices of the quantized Schur algebra
-
M. Varagnolo and E. Vasserot, On the decomposition matrices of the quantized Schur algebra, Duke Math. J. 100 (1999), 267–297.
-
(1999)
Duke Math. J
, vol.100
, pp. 267-297
-
-
Varagnolo, M.1
Vasserot, E.2
-
44
-
-
85009805732
-
Induced representations of reductive p-adic groups, II
-
MR 83g:22012
-
A. Zelevinsky, Induced representations of reductive p-adic groups, II, Ann. Sci. Ecole Norm. Sup. 13 (1980), 165–210. MR 83g:22012
-
(1980)
Ann. Sci. Ecole Norm. Sup
, vol.13
, pp. 165-210
-
-
Zelevinsky, A.1
-
45
-
-
0003233096
-
Representations of finite classical groups
-
Springer-Verlag, Berlin, MR 83k:20017
-
A. Zelevinsky, Representations of finite classical groups, Lecture Notes in Math. 869, Springer-Verlag, Berlin, 1981. MR 83k:20017
-
(1981)
Lecture Notes in Math
, vol.869
-
-
Zelevinsky, A.1
|