Algebraic supergroups and Harish-Chandra pairs over a commutative ring

DOI10.1090/tran/6751zbMath1429.14030arXiv1304.0531OpenAlexW2964047686MaRDI QIDQ2960436

Taiki Shibata, Akira Masuoka

Publication date: 9 February 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0531

zbMATH Keywords

Lie superalgebraalgebraic supergroupHopf superalgebraHarish-Chandra pairChevalley supergroupsuper-hyperalgebra

Mathematics Subject Classification ID

Supervarieties (14M30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) ``Super (or ``skew) structure (16W55) Hopf algebras and their applications (16T05)

Related Items

Algebraic supergroups and their representations, Modular representations of exceptional supergroups, Group superschemes, On functor points of affine supergroups, Solvability and nilpotency for algebraic supergroups, Affine algebraic super-groups with integral, Linkage principle for ortho-symplectic supergroups, Orbits of actions of group superschemes, Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem, Hopf-algebraic techniques applied to super Lie groups over a complete field, Minimal \(W\)-superalgebras and the modular representations of basic Lie superalgebras, Global splittings and super Harish-Chandra pairs for affine supergroups, Borel-Weil theorem for algebraic supergroups, A new equivalence between super Harish-Chandra pairs and Lie supergroups

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