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

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dc.contributor.authorKang, Seok-Jin-
dc.contributor.authorKwon, Jae-Hoon-
dc.date.accessioned2009-11-16-
dc.date.available2009-11-16-
dc.date.issued2008-
dc.identifier.citationJ. Korean Math. Soc. 45 (2008), no. 4, 1135-1202en
dc.identifier.issn0304-9914-
dc.identifier.urihttps://hdl.handle.net/10371/12165-
dc.description.abstractWe 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.en
dc.description.sponsorshipThis research was supported by KRF-grant 2005-070-C00004en
dc.language.isoenen
dc.publisher대한수학회 = The Korean Mathematical Societyen
dc.subjectquantum affine algebraen
dc.subjectcrystal basisen
dc.subjectglobal basisen
dc.titleFock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithmen
dc.typeArticleen
dc.contributor.AlternativeAuthor강석진-
dc.contributor.AlternativeAuthor권재훈-
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