Vertex tensor category structure on a category of Kazhdan--Lusztig

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dc.creatorZhang, Lin
dc.date2007-01-09
dc.date.accessioned2026-07-07T07:40:00Z
dc.date.available2026-07-07T07:40:00Z
dc.descriptionWe incorporate a category of certain modules for an affine Lie algebra, of a certain fixed non-positive-integral level, considered by Kazhdan and Lusztig, into the representation theory of vertex operator algebras, by using the logarithmic tensor product theory for generalized modules for a vertex operator algebra developed by Huang, Lepowsky and the author. We do this by proving that the conditions for applying this general logarithmic tensor product theory hold. As a consequence, we prove that this category has a natural vertex tensor category structure, and in particular we obtain a new, vertex-algebraic, construction of the natural associativity isomorphisms and proof of their properties.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0701260
dc.identifierhttp://arxiv.org/abs/math/0701260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121662
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.subject17B69; 17B67; 81T40; 18D10
dc.titleVertex tensor category structure on a category of Kazhdan--Lusztig
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