4 citations · 8 across the 14 of their papers we have counts for
14 papers
Equidimensional quiver representations and their -invariants
A. N. Panov
For an arbitrary equidimensional quiver representation, we proposed the method of construction of a system of free generators of the field of -invariants. The construction of th…
Fields of invariants for unipotent radicals of parabolic subgroups
A. N. Panov
The paper is devoted to the problem of finding free generators in the fields of invariants for actions of unipotent groups on affine varieties. We consider the case when the unipot…
Supercharacters for parabolic contractions of finite groups of A,B,C,D Lie types
A. N. Panov
We construct supercharacter theories for the finite groups constructed by parabolic constraction from simple groups of Lie types. In terms of rook placements in the root…
Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups
A. N. Panov
We construct two supercharacter theories (in the sense of P. Diaconis and I.M. Isaacs) for the parabolic subgroups in orthogonal and symplectic groups. For each supercharacter theo…
Supercharacter theories for algebra group extensions
A. N. Panov
We construct a few supercharacter theories for finite semidirect products with the normal subgroup of algebra group type. In the case of algebra groups, these supercharacter theori…
Towards a supercharacter theory of the parabolic subgroups
A. N. Panov
The supercharacter theory is constructed for the parabolic subgroups of $\mathrm{GL}(n,\Fq)$ with blocks of orders less or equal to two. The author formulated the hypotheses on con…