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An application of \(U(\mathfrak g)\)-bimodules to representation theory of affine Lie algebras

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Publication:702139
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DOI10.1023/B:ALGE.0000042147.02049.38zbMath1092.17016MaRDI QIDQ702139

Dražen Adamović

Publication date: 17 January 2005

Published in: Algebras and Representation Theory (Search for Journal in Brave)


zbMATH Keywords

vertex operator algebrastensor productsaffine Lie algebrasloop modules


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)


Related Items (5)

New simple \(\widehat{\mathfrak{sl}}_2\)-modules from Weyl algebra modules ⋮ 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 ⋮ Filtrations and completions of certain positive level modules of affine algebras ⋮ Spectral characters of a class of integrable representations of toroidal Lie algebras




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