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arXiv · 2207.01564

On Quasi Steinberg characters of Complex Reflection Groups

Ashish Mishra·Digjoy Paul·Pooja Singla
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Abstract

Let $G$ be a finite group and $p$ be a prime number dividing the order of $G$. An irreducible character $\chi$ of $G$ is called a quasi $p$-Steinberg character if $\chi(g)$ 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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BibTeXRIS

Ashish Mishra, Digjoy Paul, Pooja Singla. 2022-07-04. On Quasi Steinberg characters of Complex Reflection Groups. https://arxiv.org/abs/2207.01564

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