Twisted representations of vertex operator algebras and associative algebras

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dc.creatorDong, C.
dc.creatorLi, H.
dc.creatorMason, G.
dc.date1997-02-21
dc.date.accessioned2026-07-07T09:17:29Z
dc.date.available2026-07-07T09:17:29Z
dc.descriptionLet V be a vertex operator algebra and g an automorphism of order T. We construct a sequence of associative algebras A_{g,n}(V) with n\in\frac{1}{T}\Z nonnegative such that A_{g,n}(V) is a quotient of A_{g,n+1/T}(V) and a pair of functors between the category of A_{g,n}(V)-modules which are not A_{g,n-1/T}(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 g-rational if and only if all A_{g,n}(V) are finite-dimensional semisimple algebras.
dc.descriptionlatex, 9 pages
dc.identifierhttps://arxiv.org/abs/q-alg/9702027
dc.identifierhttp://arxiv.org/abs/q-alg/9702027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153683
dc.subjectQuantum Algebra
dc.titleTwisted representations of vertex operator algebras and associative algebras
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