On parabolic subgroups of classical groups with a finite number of orbits on the unipotent radial

DOI10.1016/S0764-4442(97)88890-8zbMath0922.20049OpenAlexW2023018138WikidataQ128113089 ScholiaQ128113089MaRDI QIDQ4367668

Gerhard Röhrle, Lutz Hille

Publication date: 7 April 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)88890-8

zbMATH Keywords

parabolic subgroupsnumbers of orbitsreductive algebraic groupsunipotent radicalsimple rootsnilpotency classessimple classical algebraic groups

Mathematics Subject Classification ID

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

Related Items (11)

Variation on a theme of Richardson. ⋮ Prehomogeneous spaces for parabolic group actions in classical groups. ⋮ Finite orbit modules for parabolic subgroups of exceptional groups. ⋮ \(\Delta\)-filtered modules and nilpotent orbits of a parabolic subgroup in \(\mathrm O_N\). ⋮ The Bruhat-Chevalley order of parabolic group actions in general linear groups and degeneration for \(\Delta\)-filtered modules ⋮ Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups ⋮ QUASI-HEREDITARY ALGEBRAS ASSOCIATED WITH UPPER TRIANGULAR BIMODULES ⋮ Conjugacy classes in maximal parabolic subgroups of general linear groups ⋮ On normal Abelian subgroups in parabolic groups ⋮ A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical ⋮ Twisted double incidence algebras of type \(A_n\).

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