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arXiv · 1905.01169

Degenerations of spherical subalgebras and spherical roots

Roman Avdeev
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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.

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Roman Avdeev. 2019-05-03. Degenerations of spherical subalgebras and spherical roots. https://doi.org/10.1142/s0219199723500293

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