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

collaborators

29 papers

math.GR2026

Prime degree irreducible representations of simple algebraic groups and finite simple groups of Lie type

D. L. Flannery, A. E. Zalesski

Let $r, p$ be primes and $k$ be a positive integer. We show that if $G$ is a subgroup of $S L_{r} (p^{k})$ lying only in the non-geometric Aschbacher class $C_{9}$ , then $∣ G ∣$ is…

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.GR2023

Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups

Alexandre Zalesski

We study the irreducible representations of simple algebraic groups in which some non-central semisimple element has at most one eigenvalue of multiplicity greater than 1. We bound…

math.GR2022

Rational elements in representations of simple algebraic groups, I

Alexandre Zalesski

A finite order element $g$ of a group $G$ is called rational if $g$ is conjugate to $g^{i}$ for every integer $i$ coprime to the order $g$ . We determine all triples $(G, g, ϕ)$ , where…

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.GR2021

Representations of dimensions $(p^{n} \pm 1) /2$ of the symplectic group of degree $2 n$ over a field of characteristic $p$

Alexandre Zalesski, Irina Suprunenko

The irreducible representations $ϕ_{n}^{1}$ and $ϕ_{n}^{2}$ of the symplectic group $G_{n} = S p_{2 n} (P)$ over an algebraically closednfield $P$ of characteristic $p > 2$ with highest weights $ω_…