The number of simple modules of the Hecke algebras of type G (r, 1, n)

被引：89
作者：
Ariki, S
Mathas, A
机构：
[1] Tokyo Univ Mercantile Marine, Koto Ku, Tokyo 1358533, Japan
[2] Univ Sydney, Sydney, NSW 2006, Australia
来源：
MATHEMATISCHE ZEITSCHRIFT | 2000年 / 233卷 / 03期
关键词：
D O I：
10.1007/s002090050489
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper classifies the simple modules of the cyclotomic Hecke algebras of type G(r, 1, n) and the affine Hecke algebras of type A in arbitrary characteristic. We do this by first showing that the simple modules of the cyclotomic Hecke algebras are indexed by the set of "Kleshchev multipartitions".
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页码：601 / 623
页数：23
相关论文
共 28 条
  • [1] On the decomposition numbers of the Hecke algebra of G(m,1,n)
    Ariki, S
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1996, 36 (04): : 789 - 808
  • [2] A HECKE ALGEBRA OF (Z/RZ)/S(N) AND CONSTRUCTION OF ITS IRREDUCIBLE REPRESENTATIONS
    ARIKI, S
    KOIKE, K
    [J]. ADVANCES IN MATHEMATICS, 1994, 106 (02) : 216 - 243
  • [3] ARIKI S, 1999, CLASSIFICATION SIMPL
  • [4] BUSHNELL CJ, 1993, ANN MATH STUDIES, V129
  • [5] Chriss N., 1997, Representation Theory and Complex Geometry
  • [6] CURTIS C. W., 1987, METHODS REPRESENTATI
  • [7] DIPPER R, 1986, P LOND MATH SOC, V52, P20
  • [8] Cyclotomic q-Schur algebras
    Dipper, R
    James, G
    Mathas, A
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1998, 229 (03) : 385 - 416
  • [9] DIPPER R, 1999, UNPUB MORITA EQUIVAL
  • [10] FODA O, IN PRESS ADV MATH
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