MOP—Algorithmic Modality Analysis for Parabolic Group Actions

DOI10.1080/10586458.2002.10504468zbMath1050.20033OpenAlexW2053123577MaRDI QIDQ4804802

U. Jürgens, Gerhard Röhrle

Publication date: 2002

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51031

zbMATH Keywords

linear algebraic groupsLie algebrasmodality of parabolic subgroups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of linear algebraic groups (17B45)

Related Items (3)

Finite orbit modules for parabolic subgroups of exceptional groups. ⋮ Algorithmic testing for dense orbits of Borel subgroups ⋮ Orbits of parabolic subgroups on metabelian ideals.

Uses Software

• GAP

Cites Work

• Unnamed Item
• On the modality of parabolic subgroups of linear algebraic groups
• Algorithmic modality analysis for parabolic groups
• 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
• A note on the modality of parabolic subgroups
• CHEVIE -- A system for computing and processing generic character tables
• Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups
• Classes of unipotent elements in simple algebraic groups. II
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
• On the structure of parabolic subgroups

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