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Quantum affine algebras, combinatorics of Young walls, and global bases

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dc.contributor.authorKang, Seok-Jin-
dc.contributor.authorKwon, Jae-Hoon-
dc.date.accessioned2009-11-15T23:04:46Z-
dc.date.available2009-11-15T23:04:46Z-
dc.date.issued2002-09-19-
dc.identifier.citationElectron. Res. Announc. Amer. Math. Soc. 8 (2002), 35-46en
dc.identifier.issn1079-6762-
dc.identifier.urihttps://hdl.handle.net/10371/12149-
dc.description.abstractWe construct the Fock space representation of quantum a ne algebras using combinatorics of Young walls. We also show that the crystal
basis of the Fock space representation can be realized as the abstract crystal consisting of proper Young walls. We then generalize Lascoux-Leclerc-Thibon algorithm to obtain an effective algorithm for constructing the global bases of
basic representations.
en
dc.description.sponsorshipThis research was supported by KOSEF Grant # 98-0701-01-05-L and the Young Scientist
Award, Korean Academy of Science and Technology.
en
dc.language.isoen-
dc.publisherAmerican Mathematical Societyen
dc.subjectFock space representationen
dc.subjectquantum affine algebraen
dc.subjectcombinatorics of Young wallsen
dc.subjectLascoux-Leclerc-Thibon algorithmen
dc.titleQuantum affine algebras, combinatorics of Young walls, and global basesen
dc.typeArticleen
dc.contributor.AlternativeAuthor강석진-
dc.contributor.AlternativeAuthor권재훈-
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