Nilpotent subalgebras of semisimple Lie algebras

DOI10.1016/j.crma.2009.03.015zbMath1175.17006OpenAlexW2022572905MaRDI QIDQ1018111

George J. McNinch, Paul Levy, Donna M. Testerman

Publication date: 13 May 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/159811/files/NilCR.pdf

zbMATH Keywords

Borel subalgebrasLie algebrasnilpotent subalgebras

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)

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A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras ⋮ Integration questions in separably good characteristics ⋮ Complete reducibility for Lie subalgebras and semisimplification ⋮ On exponentiation and infinitesimal one-parameter subgroups of reductive groups. ⋮ Generic smoothness for \(G\)-valued potentially semi-stable deformation rings ⋮ Varieties of elementary abelian Lie algebras and degrees of modules ⋮ Rational points and orbits on the variety of elementary subalgebras

Cites Work

• Torsion in reductive groups
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• Normal, unipotent subgroup schemes of reductive groups
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Nilpotent subspaces of maximal dimension in semi-simple Lie algebras
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