HECKE ALGEBRAS OF TYPE B-N AT ROOTS OF UNITY

被引:71
|
作者
DIPPER, R
JAMES, G
MURPHY, E
机构
[1] UNIV E LONDON,DEPT MATH & PHYS SCI,LONDON E15 4LZ,ENGLAND
[2] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,DEPT MATH,LONDON SW7 2BZ,ENGLAND
关键词
D O I
10.1112/plms/s3-70.3.505
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The simple modules for Hecke algebras of type B-n were constructed, under certain restrictions on the characteristic of the field, in [7]. Using new ideas, introduced by the third-named author for Hecke algebras of type A(n) [13], we now remove these restrictions on the characteristic. We present a collection of modules, of which the non-zero ones form a complete set of pairwise non-isomorphic simple modules. In addition, we formulate a conjecture as to which of the modules are non-zero.
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页码:505 / 528
页数:24
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