Variation on a theme of Richardson.

DOI10.1016/S0024-3795(02)00401-9zbMath1054.20028MaRDI QIDQ1874303

Gerhard Röhrle, Lutz Hille

Publication date: 25 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

parabolic subgroupsLie algebrasunipotent radicalsdense orbitsopen orbitsreductive linear algebraic groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of linear algebraic groups (17B45)

Related Items (3)

Prehomogeneous spaces for parabolic group actions in classical groups. ⋮ Finite orbit modules for parabolic subgroups of exceptional groups. ⋮ Algorithmic testing for dense orbits of Borel subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical
• A finiteness theorem for parabolic subgroups of fixed modality
• Parabolic subgroups of positive modality
• Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups
• A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic 2 (I)
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• On parabolic subgroups of classical groups with a finite number of orbits on the unipotent radial
• Actions of parabolic subgroups in GL_n on unipotent normal subgroups and quasi-hereditary algebras
• Matrices over upper triangular bimodules and Δ-filtered modules over quasi-hereditary algebras
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
• Finiteness for parabolic group actions in classical groups.

This page was built for publication: Variation on a theme of Richardson.