Rationality of vertex operator algebras

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dc.creatorDong, Chongying
dc.creatorJiang, Cuipo
dc.date2006-07-26
dc.date.accessioned2026-07-07T07:20:59Z
dc.date.available2026-07-07T07:20:59Z
dc.descriptionIt is shown that a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is semisimple and each irreducible admissible V-module is ordinary. A contravariant form on a Verma type admissible V-module is constructed and the radical is exactly the maximal proper submodule. As an application the rationality of V_L^+ for any positive definite even lattice is obtained.
dc.description33pages
dc.identifierhttps://arxiv.org/abs/math/0607679
dc.identifierhttp://arxiv.org/abs/math/0607679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115148
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleRationality of vertex operator algebras
dc.typetext

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