5 citations · 13 across the 4 of their papers we have counts for
6 papers
Root subgroups on affine spherical varieties
Ivan Arzhantsev, Roman Avdeev
Given a connected reductive algebraic group and a Borel subgroup , we study -normalized one-parameter additive group actions on affine spherical -varieties…
On extended weight monoids of spherical homogeneous spaces
Roman Avdeev
Given a connected reductive complex algebraic group and a spherical subgroup , the extended weight monoid encodes the -module structures o…
Degenerations of spherical subalgebras and spherical roots
Roman Avdeev
We obtain several structure results for a class of spherical subgroups of connected reductive complex algebraic groups that extends the class of strongly solvable spherical subgrou…
Spherical actions on isotropic flag varieties and related branching rules
Roman Avdeev, Alexey Petukhov
Let be a symplectic or special orthogonal group, let be a connected reductive subgroup of , and let be a flag variety of . We classify all triples such…
Branching rules related to spherical actions on flag varieties
Roman Avdeev, Alexey Petukhov
Let be a connected semisimple algebraic group and let be a connected reductive subgroup. Given a flag variety of , a result of Vinberg and Kimelfeld assert…
New and old results on spherical varieties via moduli theory
Roman Avdeev, Stéphanie Cupit-Foutou
Given a connected reductive algebraic group and a finitely generated monoid of dominant weights of , in 2005 Alexeev and Brion constructed a moduli scheme …