Degenerations of spherical subalgebras and spherical roots
Algebraic Geometry
2024-05-28 v3 Group Theory
Abstract
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 subgroups. Based on these results, we construct certain one-parameter degenerations of the Lie algebras corresponding to such subgroups. As an application, we exhibit explicit algorithms for computing the set of spherical roots of such a spherical subgroup.
Keywords
Cite
@article{arxiv.1905.01169,
title = {Degenerations of spherical subalgebras and spherical roots},
author = {Roman Avdeev},
journal= {arXiv preprint arXiv:1905.01169},
year = {2024}
}
Comments
v3: 46 pages, revised in accordance with suggestions of several referees