Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus

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dc.creatorBillig, Yuly
dc.creatorMolev, Alexander
dc.creatorZhang, Ruibin
dc.date2007-07-04
dc.date.accessioned2026-07-07T08:13:59Z
dc.date.available2026-07-07T08:13:59Z
dc.descriptionWe study irreducible representations for the Lie algebra of vector fields on a 2-dimensional torus constructed using the generalized Verma modules. We show that for a certain choice of parameters these representations remain irreducible when restricted to a loop subalgebra in the Lie algebra of vector fields. We prove this result by studying vertex algebras associated with the Lie algebra of vector fields on a torus and solving non-commutative differential equations that we derive using the vertex algebra technique.
dc.identifierhttps://arxiv.org/abs/0707.0659
dc.identifierhttp://arxiv.org/abs/0707.0659
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132966
dc.subjectRepresentation Theory
dc.subject17B66; 17B69
dc.titleDifferential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus
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