Vertex operator algebra arising from the minimal series M(3,p) and monomial basis

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60616We study a vertex operator algebra (VOA) V related to the M(3,p) Virasoro minimal series. This VOA reduces in the simplest case p=4 to the level two integrable vacuum module of $\hat{sl}_2$. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of $\hat{sl}_2$. Our main concern is the subspace W generated by this action from the highest weight vector of V. Using the Fourier components of a(z), we present a monomial basis of W and a semi-infinite monomial basis of V. We also give a Gordon type formula for their characters.28 pagesQuantum AlgebraCombinatoricsRepresentation Theory17B69 (Primary), 17B68 (Secondary)Vertex operator algebra arising from the minimal series M(3,p) and monomial basistext