Simplicity of vacuum modules over affine Lie superalgebras

DOI10.1016/j.jalgebra.2009.02.003zbMath1266.17015arXiv0806.2605OpenAlexW2963855415WikidataQ115351316 ScholiaQ115351316MaRDI QIDQ2390491

Shifra Reif, Crystal Hoyt

Publication date: 23 July 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2605

zbMATH Keywords

affine Lie superalgebra\(W\)-algebravacuum module

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Root systems (17B22)

Related Items (3)

A commutant realization of Odake's algebra ⋮ A family of representations of the affine Lie superalgebra \(\widehat{\mathfrak{gl}}_{m | n}(\mathbb{C})\) ⋮ Denominator identities for the periplectic Lie superalgebra

Cites Work

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• Category of \(\mathfrak g\) modules
• Quantum reduction for affine superalgebras
• On a Generic Verma Module at the Critical Level Over Affine Lie Superalgebras
• Lie superalgebras

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