Vertex operator algebras associated to modular invariant representations for $A

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153440We 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.14 pages, Latex, No Figures, to appear in Mathematical Research Letters, 1995Quantum AlgebraVertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$text