A finiteness theorem for parabolic subgroups of fixed modality

DOI10.1016/S0019-3577(97)83356-3zbMath0905.20029MaRDI QIDQ1359391

Vladimir L. Popov

Publication date: 18 August 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

parabolic subgroupssemisimple groupsmodalitysimple algebraic groupsunipotent radicalconnected algebraic subgroupsirreducible subvarieties

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Variation on a theme of Richardson., Finite orbit modules for parabolic subgroups of exceptional groups., MOP—Algorithmic Modality Analysis for Parabolic Group Actions, A note on the modality of parabolic subgroups, Nilpotent orbits for Borel subgroups of \(\mathrm{SO}_5(k)\), Conjugacy classes in maximal parabolic subgroups of general linear groups, Weight elements of Chevalley groups, On normal Abelian subgroups in parabolic groups

Cites Work

• Complexity of action of reductive groups
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• Parabolic subgroups of positive modality
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
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