On certain vertex algebras and their modules associated with vertex algebroids

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dc.creatorLi, Haisheng
dc.creatorYamskulna, Gaywalee
dc.date2004-10-20
dc.date.accessioned2026-07-07T05:13:27Z
dc.date.available2026-07-07T05:13:27Z
dc.descriptionWe study the family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple modules for such vertex algebras and we show that the equivalence classes of graded simple modules one-to-one correspond to the equivalence classes of simple modules for the Lie algebroids associated with the vertex algebroids. To achieve our goal, we construct and exploit a Lie algebra from a given vertex algebroid.
dc.description32 pages. Journal of Algebra, in Press
dc.identifierhttps://arxiv.org/abs/math/0410446
dc.identifierhttp://arxiv.org/abs/math/0410446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72949
dc.subjectQuantum Algebra
dc.subject17B69
dc.titleOn certain vertex algebras and their modules associated with vertex algebroids
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