Complete reducibility of subgroups of reductive algebraic groups over non-perfect fields. IV: An \(F_4\) example

DOI10.1515/jgth-2020-0191zbMath1495.20043arXiv2011.13659OpenAlexW3214990383MaRDI QIDQ2136392

Tomohiro Uchiyama, Falk Bannuscher, Alastair J. Litterick

Publication date: 10 May 2022

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13659

zbMATH Keywords

G-complete reducibilityimperfect fieldReductive group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15)

Related Items

Complete reducibility for Lie subalgebras and semisimplification

Uses Software

• Magma

Cites Work

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• The center conjecture for thick spherical buildings
• Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type \(E_7\).
• The center conjecture for spherical buildings of types \(F _{4}\) and \(E _{6}\)
• Cocharacter-closure and spherical buildings
• Complete reducibility and separable field extensions.
• Buildings of spherical type and finite BN-pairs
• The Magma algebra system. I: The user language
• Reducible subgroups of exceptional algebraic groups
• Conjugacy classes of n-tuples in Lie algebras and algebraic groups
• Receding polar regions of a spherical building and the center conjecture.
• Cocharacter-closure and the rational Hilbert-Mumford theorem
• A geometric approach to complete reducibility.
• The center conjecture for non-exceptional buildings
• Groupes reductifs
• Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
• Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields. I.
• Closed orbits and uniform $S$-instability in geometric invariant theory
• On the smoothness of centralizers in reductive groups
• Non-G-Completely Reducible Subgroups of the Exceptional Algebraic Groups
• Complete reducibility and separability
• Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields II
• Complete reducibility in good characteristic
• Reductive subgroups of exceptional algebraic groups
• Pseudo-reductive Groups
• Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields III
• Complete reducibility, Külshammer’s question, conjugacy classes: A D₄ example
• Linear algebraic groups.