5 citations · 8 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
Invariants of coadjoint representation of regular factors
A. N. Panov
A regular factor is a factor algebra of the unitriangular Lie algebra with respect to some regular ideal. In the paper we construct system of generators of the field of invariants…
On index of certain nilpotent Lie algebras
A. N. Panov
We introduce the method of calculation of index of Lie algebras that are factors of the unitriangular Lie algebra with respect to ideals spanned by subsets of root vectors.
Involutions in and associated coadjoint orbits
A. N. Panov
In the paper we study the coadjoint orbits of the group associated with involutions. We obtain a formula for dimension of the orbit. We construct a polarization…