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

Showing 2020Show all

4 papers · 1 filter

math.CO2020

On the second largest eigenvalue of some Cayley graphs of the Symmetric Group

Johannes Siemons, Alexandre Zalesski

Let $S_{n}$ and $A_{n}$ denote the symmetric and alternating group on the set ${1, .., n},$ respectively. In this paper we are interested in the second largest eigenvalue $λ_{2} (Γ)$ …

math.NT2020

Unisingular representations in arithmetic and Lie theory

John Cullinan, Alexandre Zalesski

Let G be a subgroup of GL(V), where V is a finite dimensional vector space over a finite field of characteristic p >0. If det(g-1) = 0 for all g \in G then we call G a fixed-point…

math.GR2020

Abelian subgroups and semisimple elements in $2$ -modular representations of the symplectic group $S p_{2 n} (2)$

Alexandre Zalesski

We determine the irreducible 2-modular representations of the symplectic group $G = S p_{2 n} (2)$ whose restriction to every abelian subgroup has a trivial constituent. A similar resul…

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…

On the second largest eigenvalue of some Cayley graphs of the Symmetric Group

Unisingular representations in arithmetic and Lie theory

Abelian subgroups and semisimple elements in 2-modular representations of the symplectic group Sp2n​(2)

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

Abelian subgroups and semisimple elements in $2$ -modular representations of the symplectic group $S p_{2 n} (2)$