Finiteness for parabolic group actions in classical groups.

DOI10.1007/s000130050545zbMath1039.20023OpenAlexW1967956639MaRDI QIDQ5932151

Lutz Hille, Thomas Brüstle, Gerhard Röhrle

Publication date: 18 September 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050545

zbMATH Keywords

parabolic subgroupsnumber of orbitsreductive algebraic groupsunipotent radicals

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35) Lie algebras of linear algebraic groups (17B45)

Related Items (6)

Variation on a theme of Richardson. ⋮ Prehomogeneous spaces for parabolic group actions in classical groups. ⋮ Finite orbit modules for parabolic subgroups of exceptional groups. ⋮ On the complement of the Richardson orbit. ⋮ Algorithmic testing for dense orbits of Borel subgroups ⋮ Orbits of parabolic subgroups on metabelian ideals.

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