Mikhail Venchakov

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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

Rook placements and coadjoint orbits for maximal unipotent subgroups of finite symplectic groups

Mikhail Venchakov

Let $U$ be a maximal unipotent subgroup in a symplectic group over a finite field of sufficiently large characteristic $p$ . According to the Kirillov's orbit method, the coadjoint…

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

Rook placements and coadjoint orbits for maximal unipotent subgroups of finite symplectic groups

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