Abelian unipotent subgroups of reductive groups

DOI10.1016/S0022-4049(01)00038-XzbMath0999.20035arXivmath/0007056OpenAlexW2014655433MaRDI QIDQ5957772

George J. McNinch

Publication date: 10 September 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007056

zbMATH Keywords

cohomology ringsgroup actionssemisimple groupsLie algebrasclassical groupsroot systemsChevalley groupsconnected reductive groupsmodular representationsFrobenius kernelsCoxeter numbersgood primesnilpotent orbitsTesterman's order formulaunipotent elements

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of linear algebraic groups (17B45) Cohomology theory for linear algebraic groups (20G10)

Related Items (16)

Support varieties and stable categories for algebraic groups ⋮ Vector bundles associated to Lie algebras ⋮ Unipotent elements and generalized exponential maps ⋮ Integration questions in separably good characteristics ⋮ Faithful representations of \(\text{SL}_2\) over truncated Witt vectors. ⋮ Springer isomorphisms in characteristic \(p\) ⋮ On exponentiation and infinitesimal one-parameter subgroups of reductive groups. ⋮ Growth in solvable subgroups of \(\mathrm{GL}_r(\mathbb Z/p\mathbb Z)\). ⋮ Global Cayley maps and conjugacy class sizes of maximal unipotent subgroups of finite simple groups of Lie type. ⋮ Elementary subalgebras of Lie algebras ⋮ Detecting projectivity in sheaves associated to representations of infinitesimal groups ⋮ Exponentiation of commuting nilpotent varieties ⋮ Support varieties for modules over Chevalley groups and classical Lie algebras ⋮ Constructions for infinitesimal group schemes ⋮ On the semisimplicity of reductions and adelic openness for 𝐸-rational compatible systems over global function fields ⋮ On maximal unipotent subgroups of a special linear group over commutative ring

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