7 citations · 8 across the 6 of their papers we have counts for
6 papers
The field of invariants for the adjoint action of the Borel group in the nilradical of a parabolic subalgebra
Victoria Sevostyanova
In this paper the field of invariants for the adjoint action of the Borel group in the nilradical of a parabolic subalgebra is studied. We construct the set of B-invariant rational…
The algebra of invariants for the adjoint action of the unitriangular group
Victoria Sevostyanova
In this paper the algebra of invariants for the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra is studied. We prove that the algebra of invar…
The algebra of invariants of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra
Victoria Sevostyanova
In the paper the algebra of invariants of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra is studied. We set up a conjecture on the struct…
Invariants of the adjoint action in the nilradical of a parabolic subalgebra of types Bn, Cn, Dn
Victoria Sevostyanova
We study invariants of the adjoint action of the unipotent group in the nilradical of a parabolic subalgebra of types Bn, Cn, Dn. We introduce the notion of expanded base in the se…
The field of invariants of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra
Victoria Sevostyanova
In the present paper the field of invariants of the adjoint action of the unitriangular group in the nilradical of any parabolic subalgebra is described.
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…