Solvable, reductive and quasireductive supergroups

DOI10.1016/j.jalgebra.2015.11.013zbMath1372.17021arXiv1302.5648OpenAlexW2963200708WikidataQ112881624 ScholiaQ112881624MaRDI QIDQ5964511

Alexander N. Grishkov, Alexandr N. Zubkov

Publication date: 29 February 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5648

zbMATH Keywords

Lie superalgebraunipotent radicalalgebraic supergroupquasireductive supergroupsolvable radicalsolvable supergroup

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Linear algebraic groups and related topics (20G99)

Related Items

The center of \(\mathrm{Dist}(\mathrm{GL}(m| n))\) in positive characteristic ⋮ On functor points of affine supergroups ⋮ Solvability and nilpotency for algebraic supergroups ⋮ Affine algebraic super-groups with integral ⋮ On sheaf cohomology for supergroups arising from simple classical Lie superalgebras ⋮ Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem ⋮ Algebraic supergroups and Harish-Chandra pairs over a commutative ring ⋮ \(GL(m|n)\)-supermodules with good and Weyl filtrations. ⋮ Blocks for the general linear supergroup \(\mathrm{GL}(m|n)\)

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