Representations of Double Affine Lie algebras

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dc.creatorChari, Vyjayanthi
dc.creatorLe, Thang
dc.date2002-05-29
dc.date.accessioned2026-07-07T04:48:47Z
dc.date.available2026-07-07T04:48:47Z
dc.descriptionWe study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine algebras. Finally, in the last section of the paper, we show, by using the notion of fusion product, that our modules are generically reducible.
dc.identifierhttps://arxiv.org/abs/math/0205312
dc.identifierhttp://arxiv.org/abs/math/0205312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64184
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B67
dc.titleRepresentations of Double Affine Lie algebras
dc.typetext

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