The Centralizer of a Nilpotent Section

DOI10.1017/S0027763000009594zbMath1162.20030arXivmath/0605626OpenAlexW2154059162MaRDI QIDQ3516803

George J. McNinch

Publication date: 11 August 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605626

zbMATH Keywords

centralizersLevi factorsalgebraic group schemesnilpotent sectionsinstability parabolic subgroups

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

Minimally ramified deformations when ⋮ Regular characters of classical groups over complete discrete valuation rings ⋮ Central subalgebras of the centralizer of a nilpotent element ⋮ Nilpotent centralizers and Springer isomorphisms. ⋮ On the smoothness of centralizers in reductive groups

Cites Work

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• Nilpotent orbits over ground fields of good characteristic
• Optimal \(\text{SL}(2)\)-homomorphisms.
• On the centralizer of the sum of commuting nilpotent elements.
• Completely reducible $\operatorname{SL}(2)$-homomorphisms
• On orbits of algebraic groups and Lie groups
• Endomorphisms of linear algebraic groups
• Linear algebraic groups.

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