Chevalley Supergroups of Type D(2, 1; a)

DOI10.1017/S0013091513000503zbMath1304.14069arXiv1006.0464OpenAlexW2964118061MaRDI QIDQ5419410

Fabio Gavarini

Publication date: 6 June 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0464

zbMATH Keywords

simple Lie superalgebrasaffine supergroupsrepresentation of Lie superalgebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Supervarieties (14M30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Modular representations of exceptional supergroups ⋮ Corrigendum to: ``Algebraic supergroups of Cartan type ⋮ Algebraic supergroups and Harish-Chandra pairs over a commutative ring ⋮ Minimal \(W\)-superalgebras and the modular representations of basic Lie superalgebras ⋮ Finite \(W\)-superalgebras and dimensional lower bounds for the representations of basic Lie superalgebras ⋮ Singular degenerations of Lie supergroups of type \(D(2,1;a)\) ⋮ Jantzen filtration and strong linkage principle for modular Lie superalgebras ⋮ Global splittings and super Harish-Chandra pairs for affine supergroups ⋮ Chevalley supergroups ⋮ A new equivalence between super Harish-Chandra pairs and Lie supergroups ⋮ Finite \(W\)-superalgebras for basic Lie superalgebras

Cites Work

• Infinite dimensional Lie superalgebras
• A new proof of the Mullineux conjecture.
• Mathematical foundations of supersymmetry
• The fundamental correspondences in super affine groups and super formal groups.
• On the Construction of Chevalley Supergroups
• Chevalley supergroups
• Lie superalgebras
• Central extensions of Lie superalgebras
• Unnamed Item
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