Degenerations of spherical subalgebras and spherical roots
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Published:2023-07-26
Issue:
Volume:
Page:
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ISSN:0219-1997
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Container-title:Communications in Contemporary Mathematics
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language:en
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Short-container-title:Commun. Contemp. Math.
Affiliation:
1. HSE University, Moscow, Russia
Abstract
In this paper, 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.
Funder
Russian Science Foundation
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,General Mathematics