Vertex operator algebras and associative algebras

dc.creatorDong, Chongying
dc.creatorLi, Haisheng
dc.creatorMason, Geoffrey
dc.date1996-12-05
dc.date1997-01-15
dc.date.accessioned2026-07-07T09:08:44Z
dc.date.available2026-07-07T09:08:44Z
dc.descriptionLet V be a vertex operator algebra. We construct a sequence of associative algebras A_n(V) (n=0,1,2,...) such that A_{n}(V) is a quotient of A_{n+1}(V) and a pair of functors between the category of A_n(V)-modules which are not A_{n-1}(V)-modules and the category of admissible V-modules. These functors exhibit a bijection between the simple modules in each category. We also show that V is rational if and only if all A_n(V) are finite-dimensional semisimple algebras.
dc.description26 pages, amslatex, a mistake is corrected
dc.identifierhttps://arxiv.org/abs/q-alg/9612010
dc.identifierhttp://arxiv.org/abs/q-alg/9612010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150826
dc.subjectQuantum Algebra
dc.titleVertex operator algebras and associative algebras
dc.typetext

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