Blocks with cyclic defect of Hecke orders of Coxeter groups

被引:1
|
作者
Roggenkamp, KW [1 ]
机构
[1] Univ Stuttgart, Inst Math B, D-70550 Stuttgart, Germany
关键词
Symmetric Group; Coxeter Group; Tree Order; Complete Ring; Principal Block;
D O I
10.1007/s000130050428
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let B be a p-block of cyclic defect of a Hecke order over the complete ring Z[q]([q-1,p]); i.e, module [q - 1] it is a p-block B of cyclic defect of the underlying Coxeter group G. Then B is a tree order over Z[q]([q-1,p]) to the Brauer tree of B. Moreover, in case 1 is the principal block of the Hecke order of the symmetric group S(p) on p elements, then B can be described explicitly. In this case a complete set of nonisomorphic indecomposable Cohen-Macaulay B-modules is given.
引用
收藏
页码:173 / 182
页数:10
相关论文
共 50 条