On Quasi Steinberg characters of Complex Reflection Groups

2022/07/04 by Ashish Mishra, Mishra, Ashish, Digjoy Paul +3
Computer Science · Mathematics · #05E10 #20C15 #20F55 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2207.01564

openalex publication_date 2022/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 quasi p-Steinberg characters of the complex reflection groups G(r,q,n). In particular, we obtain this classification for Weyl groups of type B_n and type D_n.

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