HECKE ALGEBRAS OF TYPE B-N AT ROOTS OF UNITY

被引：73

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

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 1995年 / 70卷

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.

引用

页码：505 / 528

页数：24

共 14 条

[1]

Curtis C. W., 1981, METHODS REPRESENTATI, VI

[2] ON QUOTIENTS OF HOM-FUNCTORS AND REPRESENTATIONS OF FINITE GENERAL LINEAR-GROUPS, 1 [J].