The irreducible characters of the alternating Hecke algebras

被引：0
作者：
Andrew Mathas
Leah Neves
机构：
[1] University of Sydney,School of Mathematics and Statistics
来源：
Journal of Algebraic Combinatorics | 2018年 / 47卷
关键词：
Iwahori–Hecke algebras; Alternating groups; Characters;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper computes the irreducible characters of the alternating Hecke algebras, which are deformations of the group algebras of the alternating groups. More precisely, we compute the values of the irreducible characters of the semisimple alternating Hecke algebras on a set of elements indexed by minimal length conjugacy class representatives and we show that these character values determine the irreducible characters completely. As an application, we determine a splitting field for the alternating Hecke algebras in the semisimple case.
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页码：175 / 211
页数：36
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