3 papers
math.AG2026
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…
math.AC2026
An infinite series of Gorenstein local algebras failing the affine homogeneity property
Roman Avdeev, Yulia Zaitseva
We provide an infinite series of commutative finite-dimensional Gorenstein local algebras for . We give an elementary proof that the maximal ideal of every algebra $…
math.GR2010
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…