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

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dc.creatorFeigin, B.
dc.creatorJimbo, M.
dc.creatorMiwa, T.
dc.date2000-12-20
dc.date2002-03-15
dc.date.accessioned2026-07-07T04:39:19Z
dc.date.available2026-07-07T04:39:19Z
dc.descriptionWe 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.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0012193
dc.identifierhttp://arxiv.org/abs/math/0012193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60616
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject17B69 (Primary), 17B68 (Secondary)
dc.titleVertex operator algebra arising from the minimal series M(3,p) and monomial basis
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