Dual pairs and infinite dimensional Lie algebras

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dc.creatorWang, Weiqiang
dc.date1999-07-22
dc.date.accessioned2026-07-07T05:29:59Z
dc.date.available2026-07-07T05:29:59Z
dc.descriptionWe construct and study various dual pairs between finite dimensional classical Lie groups and infinite dimensional Lie algebras in some Fock representations. The infinite dimensional Lie algebras here can be either a completed infinite rank affine Lie algebra, the $\winf$ algebra or its certain Lie subalgebras. We give a formulation in the framework of vertex algebras. We also formulate several conjectures and open problems.
dc.descriptionTo appear in Contemp Math, 17 pages
dc.identifierhttps://arxiv.org/abs/math/9907140
dc.identifierhttp://arxiv.org/abs/math/9907140
dc.identifierContemp. Math. 248 (1999) 453--469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78857
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.titleDual pairs and infinite dimensional Lie algebras
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