Degenerations of spherical subalgebras and spherical roots
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 oneparameter 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.
 Publication:

arXiv eprints
 Pub Date:
 May 2019
 arXiv:
 arXiv:1905.01169
 Bibcode:
 2019arXiv190501169A
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Group Theory
 EPrint:
 v2: 45 pages, revised extended version with new Section 6 containing an optimization of the initial algorithm