7 citations · 24 across the 12 of their papers we have counts for
12 papers
-projectors and fields of -invariants
K. A. Vyatkina, A. N. Panov
We present the general construction of the -projector (the homomorphism of the algebra into its field of -invariants identical on the subalgebra of -invariants). It is sho…
The orbit method for unipotent groups over finite field
A. N. Panov
We apply the orbit method to obtain formula for multiplicities of certain representations of unipotent groups over the finite field.
Field of U-invariants of adjoint representation of the group GL(n,K)
K. A. Vyatkina, A. N. Panov
We obtain system of generators of the field of U-invariants of ajoint representation of the group GL(n,K).
Regular N-orbits in the nilradical of a parabolic subalgebra
A. N. Panov, Victoria Sevostyanova
In the present paper the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra is studied. We set up general conjectures on the construction of the…
Representations of solvable Lie algebras with filtrations
A. N. Panov
We construct representation theory of Lie algebras with filtrations. In this framework a classification of irreducible representations is obtained and spectra of some reducible rep…
Reduction of spherical functions
A. N. Panov
Using reduction of spherical functions, we obtain generators of the algebra and the field of invariants for the coadjoint representation of Borel and maximal nilpotent subalgebras…