A. Zalesski

activity

20072026

most citedOn characters of Chevalley groups vanishing at the non-semisimple elements

3 citations · 6 across the 24 of their papers we have counts for

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9 papers · 1 filter

math.RT2024

Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger +1

This paper is concerned with absolutely irreducible quasisimple subgroups $G$ of a finite general linear group $G L_{d} (F_{q})$ for which some element $g \in G$ of prime order $…

math.RT2022

Almost cyclic regular elements in irreducible representations of simple algebraic groups

Donna M. Testerman, Alexandre Zalesski

Let $G$ be a simple linear algebraic group defined over an algebraically closed field of characteristic $p \geq 0$ and let $ϕ$ be a $p$ -restricted irreducible representation of $G$ .…

math.RT2021

Spectra of non-regular elements in irreducible representations of simple algebraic groups

Donna M Testerman, Alexandre Zalesski

We study the spectra of non-regular semisimple elements in irreducible representations of simple algebraic groups. More precisely, we prove that if G is a simply connected simple l…

math.RT2021

Matrices of simple spectrum in irreducible representations of cyclic extensions of simple algebraic groups

Alexandre Zalesski

Let $H$ be a linear algebraic group whose connected component $G \neq = 1$ is simple and $H / G$ is cyclic. We determine the irreducible projective representations $ϕ$ of $H$ such that…

math.RT2020

Weight zero in tensor-decomposable irreducible representations of simple algebraic groups

Alexander Baranov, Alexandre Zalesski

Let $G$ be a simple algebraic group in defining characteristic $p > 0$ , and let $V$ be an irreducible $G$ -module which is the tensor product of exactly two non-trivial modules. We ob…

math.RT2019

A sharp upper bound for the size of Lusztig series

Christine Bessenrodt, Alexandre Zalesski

The paper is concerned with the character theory of finite groups of Lie type. The irreducible characters of a group $G$ of Lie type are partitioned in Lusztig series. We provide a…

math.RT2018

Steinberg-like characters for finite simple groups

Gunter Malle, Alexandre Zalesski

Let $G$ be a finite group and, for a prime $p$ , let $S$ be a Sylow $p$ -subgroup of $G$ . A character $χ$ of $G$ is called $\Syl_p$-regular if the restriction of $χ$ to $S$ is the ch…

math.RT2012

On generators and representations of the sporadic simple groups

L. Di Martino, M. A. Pellegrini, A. E. Zalesski

In this paper we determine the irreducible projective representations of sporadic simple groups over an arbitrary algebraically closed field F, whose image contains an almost cycli…

math.RT2008

The Weil-Steinberg character of finite classical groups

G. Hiss, A. Zalesski

We compute the irreducible constitutents of the product of the Weil character and the Steinberg character in those finite classical groups for which a Weil character is defined, na…