On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group

被引：0
作者：
Orellana, RC [1 ]
机构：
[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
来源：
Algebraic Structures and Their Representations | 2005年 / 376卷
关键词：
centralizer algebra; partition algebra; hyperoctahedral group; coxeter group; bratteli diagram;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give a combinatorial rule for the decomposition of tenser powers of the signed permutation representation of the hyperoctahedral group. We then use this rule to describe the Bratteli diagram of a centralizer algebra of this group over k-th tenser space. We show that a basis for this algebra can be described completely in terms of set partitions and we give a set of generators and relations.
引用
收藏
页码：345 / 357
页数：13
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