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Vertex operator algebras and irreducibility of certain modules for affine Lie algebras

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Publication:1382754
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DOI10.4310/MRL.1997.v4.n6.a3zbMath0895.17025MaRDI QIDQ1382754

Dražen Adamović

Publication date: 23 September 1998

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

tensoraffine Lie algebrasZhu's algebraloop moduleshighest-weight module


Mathematics Subject Classification ID

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


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New simple \(\widehat{\mathfrak{sl}}_2\)-modules from Weyl algebra modules ⋮ JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS ⋮ Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra ⋮ Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra ⋮ The regular representation, Zhu's \(A(V)\)-theory, and induced modules ⋮ On certain categories of modules for affine Lie algebras ⋮ Spectral characters of a class of integrable representations of toroidal Lie algebras



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