Global splittings and super Harish-Chandra pairs for affine supergroups
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Publication:2790614
DOI10.1090/tran/6456zbMath1397.17024arXiv1308.0462OpenAlexW2963204034MaRDI QIDQ2790614
Publication date: 7 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.0462
Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Group schemes (14L15) Hopf algebras and their applications (16T05)
Related Items (10)
Group superschemes ⋮ Corrigendum to: ``Algebraic supergroups of Cartan type ⋮ On functor points of affine supergroups ⋮ Solvability and nilpotency for algebraic supergroups ⋮ Orbits of actions of group superschemes ⋮ Algebraic supergroups and Harish-Chandra pairs over a commutative ring ⋮ Hopf-algebraic techniques applied to super Lie groups over a complete field ⋮ Real forms of complex Lie superalgebras and supergroups ⋮ Singular degenerations of Lie supergroups of type \(D(2,1;a)\) ⋮ A new equivalence between super Harish-Chandra pairs and Lie supergroups
Cites Work
- On complex Lie supergroups and split homogeneous supermanifolds
- Algebraic supergroups of Cartan type
- Infinite dimensional Lie superalgebras
- Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field
- Mathematical foundations of supersymmetry
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- The fundamental correspondences in super affine groups and super formal groups.
- On the Construction of Chevalley Supergroups
- Algebraic supergroups and Harish-Chandra pairs over a commutative ring
- Chevalley supergroups
- Affine Lie Supergroups
- Chevalley Supergroups of Type D(2, 1; a)
- Lie superalgebras
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