Good gradings of basic Lie superalgebras

DOI10.1007/s11856-012-0023-2zbMath1300.17021arXiv1010.3412OpenAlexW2088418903MaRDI QIDQ1932659

Crystal Hoyt

Publication date: 21 January 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3412

zbMATH Keywords

basic Lie superalgebrasGood \(\mathbb{Z}\)-gradingssuper finite \(W\)-algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70)

Related Items (17)

Screening operators for \(\mathcal {W}\)-algebras ⋮ On Kostant's theorem for the Lie superalgebra \(Q(n)\) ⋮ On Kac-Weisfeiler modules for general and special linear Lie superalgebras ⋮ Centers of centralizers of nilpotent elements in exceptional Lie superalgebras ⋮ On free field realization of quantum affine W-algebras ⋮ Reachable elements in basic classical Lie superalgebras ⋮ \(N=2\) supersymmetric structures on classical \(W\)-algebras ⋮ On Miura maps for \(\mathcal{W}\)-superalgebras ⋮ Finite \(W\)-superalgebras for queer Lie superalgebras ⋮ Classical affine W-superalgebras via generalized Drinfeld-Sokolov reductions and related integrable systems ⋮ Finite \(W\)-superalgebras and truncated super Yangians ⋮ Finite \(W\)-superalgebras via super Yangians ⋮ On shifted super Yangians and a class of finite \(W\)-superalgebras ⋮ Super formal Darboux-Weinstein theorem and finite \(W\)-superalgebras ⋮ On principal finite W-algebras for the Lie superalgebra D(2, 1; α) ⋮ Finite \(W\)-superalgebras for basic Lie superalgebras ⋮ Centers of centralizers of nilpotent elements in Lie superalgebras 𝔰𝔩(m|n) or 𝔬𝔰𝔭(m|2n)

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