Orbits of parabolic subgroups on metabelian ideals.

DOI10.1016/j.bulsci.2008.06.003zbMath1159.20022arXiv0711.3711OpenAlexW2017098838MaRDI QIDQ998967

Simon M. Goodwin, Gerhard Röhrle, Lutz Hille

Publication date: 30 January 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3711

zbMATH Keywords

parabolic subgroupsnumbers of orbitsgroup actionsLie algebras

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 (2)

Adjoint action of automorphism groups on radical endomorphisms, generic equivalence and Dynkin quivers. ⋮ Two orbits: when is one in the closure of the other?

Cites Work

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• Tame algebras and integral quadratic forms
• On the volume of a tilting module.
• On weakly positive unit forms
• 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
• Finite orbit modules for parabolic subgroups of exceptional groups.
• 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
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Parabolic subgroups with Abelian unipotent radical
• MOP—Algorithmic Modality Analysis for Parabolic Group Actions
• Finiteness for parabolic group actions in classical groups.

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