Complete reducibility and commuting subgroups

DOI10.1515/CRELLE.2008.063zbMath1152.20041arXivmath/0609433MaRDI QIDQ3524836

Benjamin M. S. Martin, Michael Bate, Gerhard Röhrle

Publication date: 15 September 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609433

zbMATH Keywords

isogeniescocharactersreductive linear algebraic groups\(G\)-complete reducibilitylinearly reductive groupsRichardson parabolic subgroupscommuting connected subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07)

Related Items (11)

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields. I. ⋮ Overgroups of regular unipotent elements in reductive groups ⋮ Cocharacter-closure and the rational Hilbert-Mumford theorem ⋮ Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. ⋮ RELATIVE COMPLETE REDUCIBILITY AND NORMALIZED SUBGROUPS ⋮ Complete reducibility in good characteristic ⋮ Complete reducibility and separability ⋮ Optimal subgroups and applications to nilpotent elements ⋮ $G$-complete reducibility in non-connected groups ⋮ Closed orbits and uniform $S$-instability in geometric invariant theory ⋮ Orbit closures and invariants

Cites Work

• A normal subgroup of a strongly reductive subgroup is strongly reductive
• Reductive subgroups of reductive groups in nonzero characteristic.
• A geometric approach to complete reducibility.
• Completely reducible $\operatorname{SL}(2)$-homomorphisms
• On orbits of algebraic groups and Lie groups

This page was built for publication: Complete reducibility and commuting subgroups