Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$

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dc.creatorAdamovic, Drazen
dc.creatorMilas, Antun
dc.date1995-09-22
dc.date.accessioned2026-07-07T09:16:41Z
dc.date.available2026-07-07T09:16:41Z
dc.descriptionWe investigate vertex operator algebras $L(k,0)$ associated with modular-invariant representations for an affine Lie algebra $A_1 ^{(1)}$ , where k is 'admissible' rational number. We show that VOA $L(k,0)$ is rational in the category $\cal O$ and find all irreducible representations in the category of weight modules.
dc.description14 pages, Latex, No Figures, to appear in Mathematical Research Letters, 1995
dc.identifierhttps://arxiv.org/abs/q-alg/9509025
dc.identifierhttp://arxiv.org/abs/q-alg/9509025
dc.identifierMath. Res. Lett. 2 (1995) 563-575
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153440
dc.subjectQuantum Algebra
dc.titleVertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$
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