Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm

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dc.creatorKang, Seok-Jin
dc.creatorKwon, Jae-Hoon
dc.date2002-08-27
dc.date.accessioned2026-07-07T04:50:24Z
dc.date.available2026-07-07T04:50:24Z
dc.descriptionWe construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the abstract crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.
dc.description70 pages
dc.identifierhttps://arxiv.org/abs/math/0208204
dc.identifierhttp://arxiv.org/abs/math/0208204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64782
dc.subjectQuantum Algebra
dc.subject17B37
dc.titleFock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm
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