Algorithmic testing for dense orbits of Borel subgroups

DOI10.1016/j.jpaa.2004.08.038zbMath1066.14054OpenAlexW2098306335MaRDI QIDQ1772252

Simon M. Goodwin

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.038

zbMATH Keywords

GAPDOOBSexceptional reductive algebraic group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) 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)

Calculating conjugacy classes in Sylow \(p\)-subgroups of finite Chevalley groups. ⋮ The orbit structure of Dynkin curves. ⋮ One-parameter contractions of Lie-Poisson brackets

Uses Software

• GAP

Cites Work

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• A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical
• Variation on a theme of Richardson.
• Prehomogeneous spaces for the coadjoint action of a parabolic group
• ad-nilpotent ideals of a Borel subalgebra: generators and duality
• Prehomogeneous spaces for parabolic group actions in classical groups.
• Finite orbit modules for parabolic subgroups of exceptional groups.
• Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups
• Relative Springer isomorphisms.
• Existence of Levi factors in certain algebraic groups
• 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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