Degenerations of spherical subalgebras and spherical roots
arXiv:1905.01169 · doi:10.1142/S0219199723500293
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.
arXiv commentv3: 46 pages, revised in accordance with suggestions of several referees
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