M. Ignatev

activity

20232026

collaborators

6 papers

math.RT2026

Orbits of submaximal dimension for Sylow $p$ -subgroups of finite classical orthogonal groups

Mikhail Ignatev, Mikhail Venchakov

Let $U$ be a Sylow $p$ -subgroup in a classical orthogonal group over a finite field with $q$ elements of characteristic $p$ large enough. The coadjoint orbits of the group $U$ play…

math.RT2026

Orbits of maximal and submaximal dimension for Sylow $p$ -subgroups of finite classical groups

Mikhail Ignatev, Mikhail Venchakov

Let $U$ be a Sylow $p$ -subgroup in a classical group over a finite field with $q$ elements of characteristic $p$ large enough. The coadjoint orbits of the group $U$ play the key ro…

math.RT2026

On the number of irreducible representations for finite unipotent Heisenberg-type groups

Mikhail Ignatev, Leonid Titov

Let $U$ be an algebraic subgroup of the group of $n \times n$ upper-triangular matrices with units on the diagonal over a finite field of large enough characteristic, and $\mathfrak…

math.RT2025

Coadjoint orbits of low dimension for nilradicals of Borel subalgebras in classical types

Mikhail Ignatev, Alexey Petukhov

Let $g$ be a classical simple Lie algebra over an algebraically closed field $F$ of characteristic zero or large enough, and let $n$ be a maximal nilpot…

math.RT2024

Orbits and characters associated with rook placements for Sylow $p$ -subgroups of finite orthogonal groups

Mikhail Ignatev, Mikhail Venchakov

Let $U$ be a Sylow $p$ -subgroup in a classical group over a finite field of characteristic $p$ . The coadjoint orbits of the group $U$ play the key role in the description of irredu…

math.RT2023

Characters of the unitriangular group and the Mackey method

Mikhail Ignatev, Mikhail Venchakov

Let $U$ be the unitriangular group over a finite field. We consider an interesting class of irreducible complex characters of $U$ , so-called characters of depth 2. This is a next n…

Orbits of submaximal dimension for Sylow p-subgroups of finite classical orthogonal groups

Orbits of maximal and submaximal dimension for Sylow p-subgroups of finite classical groups

On the number of irreducible representations for finite unipotent Heisenberg-type groups

Coadjoint orbits of low dimension for nilradicals of Borel subalgebras in classical types

Orbits and characters associated with rook placements for Sylow p-subgroups of finite orthogonal groups

Characters of the unitriangular group and the Mackey method

Orbits of submaximal dimension for Sylow $p$ -subgroups of finite classical orthogonal groups

Orbits of maximal and submaximal dimension for Sylow $p$ -subgroups of finite classical groups

Orbits and characters associated with rook placements for Sylow $p$ -subgroups of finite orthogonal groups