Bimodules and g-rationality of vertex operator algebras

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dc.creatorDong, Chongying
dc.creatorJiang, Cuipo
dc.date2006-07-28
dc.date.accessioned2026-07-07T07:21:08Z
dc.date.available2026-07-07T07:21:08Z
dc.descriptionThis paper studies the twisted representations of vertex operator algebras. Let V be a vertex operator algebra and g an automorphism of V of finite order T. For any m,n in (1/T)Z_+, an A_{g,n}(V)-A_{g,m}(V)-bimodule A_{g,n,m}(V) is constructed. The collection of these bimodules determines any admissible g-twisted V-module completely. A Verma type admissible g-twisted V-module is constructed naturally from any A_{g,m}(V)-module. Furthermore, it is shown with the help of bimodule theory that a simple vertex operator algebra V is g-rational if and only if its twisted associative algebra A_g(V) is semisimple and each irreducible admissible g-twisted V-module is ordinary.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0607758
dc.identifierhttp://arxiv.org/abs/math/0607758
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115194
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleBimodules and g-rationality of vertex operator algebras
dc.typetext

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