A. Stasinski

activity

20032026

most citedOn Cuspidal Representations of General Linear Groups over Discrete Valuation Rings

26 citations · 63 across the 22 of their papers we have counts for

collaborators

27 papers

math.RT2026

A tensor square theorem for characters of $GL_{n} (q)$

Nariel Monteiro, Alexander Stasinski

We construct an irreducible character of $GL_{n} (q)$ whose square contains every irreducible character that is trivial on the centre of $GL_{n} (q)$ . T…

math.RA2025

On Fillmore's theorem over integrally closed domains

Alexander Stasinski

A well-known theorem of Fillmore says that if $A \in M_{n} (K)$ is a non-scalar matrix over a field $K$ and $γ_{1}, \dots, γ_{n} \in K$ are such that $γ_{1}+\dots+γ_{n}=\o…

math.RT2024

The conjugation representation of $GL_{2}$ and $SL_{2}$ over finite local rings

Nariel Monteiro, Alexander Stasinski

The conjugation representation of a finite group $G$ is the complex permutation module defined by the action of $G$ on itself by conjugation. Addressing a problem raised by Hain mo…

math.RT2023

The algebraisation of higher level Deligne--Lusztig representations II: odd levels

Zhe Chen, Alexander Stasinski

In this paper we study higher level Deligne--Lusztig representations of reductive groups over discrete valuation rings, with finite residue field $F_{q}$ . In previous work w…

math.GR2022

Rationality of twist representation zeta functions of compact $p$ -adic analytic groups

Alexander Stasinski, Michele Zordan

We prove that for any twist rigid compact $p$ -adic analytic group $G$ , its twist representation zeta function is a finite sum of terms $n_{i}^{- s} f_{i} (p^{- s})$ , where $n_{i}$ are…

math.RA2022

Representatives of similarity classes of matrices over PIDs corresponding to ideal classes

Lucy Knight, Alexander Stasinski

For a principal ideal domain $A$ , the Latimer--MacDuffee correspondence sets up a bijection between the similarity classes of matrices in $M_{n} (A)$ with irreducible…