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
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