Integrability of C_2-cofinite vertex operator algebras

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dc.creatorDong, Chongying
dc.creatorMason, Geoffrey
dc.date2006-01-23
dc.date.accessioned2026-07-07T06:59:13Z
dc.date.available2026-07-07T06:59:13Z
dc.descriptionThe following integrability theorem for vertex operator algebras V satisfying some finiteness conditions(C_2-cofinite and CFT-type) is proved: the vertex operator subalgebra generated by a simple Lie subalgebra {\frak g} of the weight one subspace V_1 is isomorphic to the irreducible highest weight \hat{\frak g}-module L(k, 0) for a positive integer k, and V is an integrable \hat{\frak g}-module. The case in which {\frak g} is replaced by an abelian Lie subalgebra is also considered, and several consequences of integrability are discussed.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0601569
dc.identifierhttp://arxiv.org/abs/math/0601569
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107667
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleIntegrability of C_2-cofinite vertex operator algebras
dc.typetext

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