On the smoothness of normalisers, the subalgebra structure of modular Lie algebras, and the cohomology of small representations

zbMath1387.14121arXiv1402.6280MaRDI QIDQ288646

David I. Stewart, Sebastian Herpel

Publication date: 27 May 2016

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6280

zbMATH Keywords

cohomologysmoothnesscomplete reducibilitysubgroup structure

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Cohomology theory for linear algebraic groups (20G10) Modular Lie (super)algebras (17B50) Group schemes (14L15) Structure theory for linear algebraic groups (20G07)

Related Items (8)

Maximal subalgebras of Cartan type in the exceptional Lie algebras ⋮ 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 ⋮ Generic Property and Conjugacy Classes of Homogeneous Borel Subalgebras of Restricted Lie Algebras of Cartan Type (I): Type W ⋮ Semisimplification for subgroups of reductive algebraic groups ⋮ Finiteness of \(z\)-classes in reductive groups ⋮ Varieties of elementary abelian Lie algebras and degrees of modules

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