Finite orbit modules for parabolic subgroups of exceptional groups.

DOI10.1016/S0019-3577(04)90014-6zbMath1069.20034OpenAlexW2137348712MaRDI QIDQ1890422

Gerhard Röhrle, Simon M. Goodwin

Publication date: 3 January 2005

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(04)90014-6

zbMATH Keywords

parabolic subgroupsnumbers of orbitsdense orbitsBorel subgroupsreductive linear algebraic groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of linear algebraic groups (17B45)

Related Items (4)

Prehomogeneous spaces for parabolic group actions in classical groups. ⋮ Calculating conjugacy classes in Sylow \(p\)-subgroups of finite Chevalley groups. ⋮ Algorithmic testing for dense orbits of Borel subgroups ⋮ Orbits of parabolic subgroups on metabelian ideals.

Uses Software

• GAP

Cites Work

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• A note on the modality of parabolic subgroups
• Variation on a theme of Richardson.
• Prehomogeneous spaces for parabolic group actions in classical groups.
• Parabolic subgroups of positive modality
• Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups
• Invariant Theory
• On parabolic subgroups of classical groups with a finite number of orbits on the unipotent radial
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
• MOP—Algorithmic Modality Analysis for Parabolic Group Actions
• Finiteness for parabolic group actions in classical groups.

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