关于复反射群的拟Steinberg性质

Pub Date : 2023-02-27 DOI:10.1007/s10468-023-10201-5

Ashish Mishra, Digjoy Paul, Pooja Singla

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引用次数: 0

摘要

让 G 是有限群，p 是划分 G 的阶的素数。如果对于 G 中的每个 p 不规则元素 g，χ(g) 都非零，则 G 的不可还原字符 χ 称为准 p-斯泰恩伯格字符。特别是，我们获得了 Bn 型和 Dn 型韦尔群的这一分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Quasi Steinberg Characters of Complex Reflection Groups

Let G be a finite group and p be a prime number dividing the order of G. An irreducible character χ of G is called a quasi p-Steinberg character if χ(g) is nonzero for every p-regular element g in G. In this paper, we classify the quasi p-Steinberg characters of complex reflection groups G(r,q,n) and exceptional complex reflection groups. In particular, we obtain this classification for Weyl groups of type B_n and type D_n.

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