9 citations · 14 across the 4 of their papers we have counts for
4 papers
On computing the spherical roots for a class of spherical subgroups
Roman Avdeev
Given a connected reductive algebraic group , we consider the class of spherical subgroups such that is regularly embedded in a parabolic subgroup $P \subset G…
Spherical actions on flag varieties
Roman Avdeev, Alexey Petukhov
For every finite-dimensional vector space V and every V-flag variety X we list all connected reductive subgroups in GL(V) acting spherically on X.
Harmonic analysis on spherical homogeneous spaces with solvable stabilizer
Roman Avdeev, Natalia Gorfinkel
For all spherical homogeneous spaces G/H, where G is a simply connected semisimple algebraic group and H a connected solvable subgroup of G, we compute the spectra of the represent…
On solvable spherical subgroups of semisimple algebraic groups (report version)
Roman Avdeev
A new approach to classification of solvable spherical subgroups of semisimple algebraic groups is considered. This approach is completely different from the known approach by D. L…