On certain categories of modules for affine Lie algebras

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dc.creatorLi, Haisheng
dc.date2003-06-19
dc.date.accessioned2026-07-07T04:59:04Z
dc.date.available2026-07-07T04:59:04Z
dc.descriptionIn this paper, we re-examine certain integrable modules of Chari-Presslely for an (untwisted) affine Lie algebra $\hat{\g}$ by exploiting basic formal variable techniques. We define and study two categories ${\mathcal{E}}$ and ${\mathcal{C}}$ of $\hat{\g}$-modules using generating functions, where ${\mathcal{E}}$ includes evaluation modules and ${\mathcal{C}}$ unifies highest weight modules, evaluation modules and their tensor product modules, and we classify integrable irreducible $\hat{\g}$-modules in categories ${\mathcal{E}}$ and ${\mathcal{C}}$.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0306293
dc.identifierhttp://arxiv.org/abs/math/0306293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67836
dc.subjectQuantum Algebra
dc.subject17B67, 17B69
dc.titleOn certain categories of modules for affine Lie algebras
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