On solvable spherical subgroups of semisimple algebraic groups

DOI10.1090/S0077-1554-2012-00192-7zbMath1256.20046arXiv1102.4595MaRDI QIDQ5388842

R. S. Avdeev

Publication date: 20 April 2012

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4595

zbMATH Keywords

homogeneous spacessolvable subgroupsspherical subgroupsconnected semisimple algebraic groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Compactifications; symmetric and spherical varieties (14M27)

Related Items (7)

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer ⋮ Normalizers of solvable spherical subgroups ⋮ Equivariant models of spherical varieties ⋮ On the classification of normal \(G\)-varieties with spherical orbits ⋮ Orbits of strongly solvable spherical subgroups on the flag variety ⋮ On extended weight monoids of spherical homogeneous spaces ⋮ Strongly solvable spherical subgroups and their combinatorial invariants

Cites Work

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• Primitive wonderful varieties
• Classification of two-orbit varieties
• Weakly symmetric spaces of semisimple Lie groups
• A new stability property of plethysm
• Spherical varieties of type A
• Commutative homogeneous spaces and co-isotropic symplectic actions

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