9 citations · 40 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
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.
Homogeneous projective varieties with semi-continuous rank function
A. Petukhov, V. Tsanov
Let be a projective variety, which is not contained in a hyperplane. Then every vector in can be written as a sum of vectors from the affine…
On ideals in the enveloping algebra of a locally simple Lie algebra
Ivan Penkov, Alexey Petukhov
We study (two-sided) ideals in the enveloping algebra $\U(\frak g_\infty)$ of an infinite-dimensional Lie algebra obtained as the union (equivalently, direct l…
Affinity criterion for the quotient of an algebraic group by a one-dimensional subgroup
Alexey V. Petukhov
In this work we show that the homogeneous space of an affine algebraic group by a one-dimensional unipotent subgroup is affine if and only if the subgroup is not contained…