Finite \(W\)-superalgebras and dimensional lower bounds for the representations of basic Lie superalgebras

DOI10.4171/PRIMS/53-1-1zbMath1394.17034arXiv1412.6805MaRDI QIDQ520742

Bin Shu, Yang Zeng

Publication date: 5 April 2017

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6805

zbMATH Keywords

basic (classical) Lie superalgebrasfinite \(W\)-(super)algebrasKac-Weisfeiler conjecture (property) for modular Lie (super)algebrasmodular representations of Lie (super)algebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Lie algebras of linear algebraic groups (17B45) Modular Lie (super)algebras (17B50)

Related Items (4)

On Kac-Weisfeiler modules for general and special linear Lie superalgebras ⋮ Minimal \(W\)-superalgebras and the modular representations of basic Lie superalgebras ⋮ Jantzen filtration and strong linkage principle for modular Lie superalgebras ⋮ Super formal Darboux-Weinstein theorem and finite \(W\)-superalgebras

Cites Work

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• Principal \(W\)-algebras for \(\mathrm{GL}(m|n)\)
• Chevalley supergroups
• Algebraic supergroups with Lie superalgebras of classical type
• Chevalley Supergroups of Type D(2, 1; a)

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