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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Showing 2021Show all

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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_…

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…

Representations of dimensions (pn±1)/2 of the symplectic group of degree 2n over a field of characteristic p

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

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

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