Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products

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dc.creatorFeigin, B.
dc.creatorFeigin, E.
dc.date2002-05-27
dc.date.accessioned2026-07-07T04:48:44Z
dc.date.available2026-07-07T04:48:44Z
dc.descriptionUsing the fusion product of the representations of the Lie algebra $\mathfrak{sl}_2$ we construct a set of the integrable highest weight $\hat{\mathfrak{sl}_2}$-modules $L^D$, depending on the vector $D\in\mathbb{N}^{k+1}$. In a special cases of $D$ our modules are isomorphic to the irreducible $\hat{\mathfrak{sl}_2}$-modules $L_{i,k}$. We construct a basis of the $L^D$ and study the decomposition of $L^D$ on the irreducible components. We also write a formulas for the characters of $L^D$.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0205281
dc.identifierhttp://arxiv.org/abs/math/0205281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64163
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B67
dc.titleIntegrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products
dc.typetext

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