Symmetric Functions and Representations of Quantum Affine Algebras

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dc.creatorChari, Vyjayanthi
dc.creatorKleber, Michael
dc.date2000-11-21
dc.date.accessioned2026-07-07T04:38:43Z
dc.date.available2026-07-07T04:38:43Z
dc.descriptionWe study connections between the ring of symmetric functions and the characters of irreducible finite-dimensional representations of quantum affine algebras. We study two families of representations of the symplectic and orthogonal Lie algebras. One is defined via combinatorial properties and is easy to calculate; the other is closely related to the $q=1$ limit of the ``minimal affinization'' representations of quantum affine algebras. We conjecture that the two families are identical, and present supporting evidence and examples. In the special case of a highest weight that is a multiple of a fundamental weight, this reduces to a conjecture of Kirillov and Reshetikhin, recently proved by the first author.
dc.description19 pages. Proceedings of "Infinite dimensional Lie theory and conformal field theory", Charlottesville, May 2000
dc.identifierhttps://arxiv.org/abs/math/0011161
dc.identifierhttp://arxiv.org/abs/math/0011161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60395
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37 (Primary), 05E05 (Secondary)
dc.titleSymmetric Functions and Representations of Quantum Affine Algebras
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