A classification of commutative parabolic Hecke algebras

JOURNAL OF ALGEBRA

卷:385

Article

Abramenko, Peter¹  Parkinson, James²  Van Maldeghem, Hendrik³ 

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[3] Univ Ghent, Dept Math, B-9000 Ghent, Belgium

关键词: Hecke algebra;    Coxeter group;   

DOI  :  10.1016/j.jalgebra.2013.03.017

来源: Elsevier

【 摘 要 】

Let (W, S) be a Coxeter system with I subset of S such that the parabolic subgroup W-1 is finite. Associated to this data there is a Hecke algebra H and a parabolic Hecke algebra H-1 = 1(l)H1(l) (over a ring Z[q(s)](s is an element of S)). We give a complete classification of the commutative parabolic Hecke algebras across all Coxeter types. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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