On functor points of affine supergroups

DOI10.1016/j.jalgebra.2018.02.002zbMath1440.14213arXiv1505.06558OpenAlexW2963473784WikidataQ130206765 ScholiaQ130206765MaRDI QIDQ1643114

Taiki Shibata, Akira Masuoka

Publication date: 18 June 2018

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

Full work available at URL: https://arxiv.org/abs/1505.06558

zbMATH Keywords

algebraic supergroupHopf superalgebraaffine supergroupHarish-Chandra pair

Mathematics Subject Classification ID

Supervarieties (14M30) Group schemes (14L15) Hopf algebras and their applications (16T05)

Related Items (9)

Algebraic supergroups and their representations ⋮ Group superschemes ⋮ Solvability and nilpotency for algebraic supergroups ⋮ Affine algebraic super-groups with integral ⋮ Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem ⋮ Hopf-algebraic techniques applied to super Lie groups over a complete field ⋮ Module categories over affine supergroup schemes ⋮ Borel-Weil theorem for algebraic supergroups ⋮ Geometric construction of quotients \(G/H\) in supersymmetry

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• The fundamental correspondences in super affine groups and super formal groups.
• Global splittings and super Harish-Chandra pairs for affine supergroups
• Algebraic supergroups and Harish-Chandra pairs over a commutative ring
• Complex Analytic Groups and Hopf Algebras
• Solvable, reductive and quasireductive supergroups

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