Centralizers of Iwahori-Hecke Algebras Ⅱ:The General Case

• 来源期刊: 代数集刊（英文版）
• 关键词: Hecke algebra Coxeter group conjugacy class centralizer minimal basis
• 年，卷（期）: 2003,（1）
• 页码范围: 95-100
• 页数: 6页
• 语种: 英文

摘要

This paper is a sequel to [4]. We establish the minimal basis theory for the centralizers of parabolic subalgebras of Iwahori-Hecke algebras associated to finite Coxeter groups of any type, generalizing the approach introduced in [3]from centres to the centralizer case. As a pre-requisite, we prove a reducibility property in the twisted J-conjugacy classes in finite Coxeter groups, which is a generalization of results in [7] and [4].