This paper is a sequel to . 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  from centres to the centralizer case. As a pro-requisite, we prove a reducibility property in the twisted J-conjugacy classes in finite Coxeter groups, which is a generalization of results in  and .
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2000 Mathematics Subject Classification: 20C08, 20F55
Communicated by Jie Xiao
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Francis, A. Centralizers of Iwahori-Hecke Algebras II: The General Case. Algebra Colloq. 10, 95–100 (2003). https://doi.org/10.1007/s100110300012
- Hecke algebra
- Coxeter group
- conjugacy class
- minimal basis