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Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras

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dc.contributor.authorKang, Seok-Jin-
dc.contributor.authorJeong, Kyeonghoon-
dc.contributor.authorKim, Jeong-Ah-
dc.contributor.authorShin, Dong-Uy-
dc.date.accessioned2009-11-16-
dc.date.available2009-11-16-
dc.date.issued2008-07-15-
dc.identifier.citationJ. Algebra 319 (2008) 3732-3751en
dc.identifier.issn0021-8693-
dc.identifier.urihttp://hdl.handle.net/10371/12164-
dc.description.abstractWe introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and construct the crystals B(∞) and B(λ) in terms of Nakajima monomials. We also give an explicit description of the Nakajima monomials in the crystals B(∞) and B(λ) for the rank 2 quantum generalized Kac–Moody algebras and for the quantum Monster algebra.en
dc.description.sponsorshipThis research was supported in part by KOSEF Grant # R01-2003-000-10012-0 and KRF Grant # 2005-070-C00004.en
dc.language.isoenen
dc.publisherElsevieren
dc.subjectCrystalsen
dc.subjectNakajima monomialsen
dc.subjectGeneralized Kac–Moody algebrasen
dc.titleCrystals and Nakajima monomials for quantum generalized Kac–Moody algebrasen
dc.typeArticleen
dc.contributor.AlternativeAuthor강석진-
dc.contributor.AlternativeAuthor정경훈-
dc.contributor.AlternativeAuthor김정아-
dc.contributor.AlternativeAuthor신동의-
dc.identifier.doi10.1016/j.jalgebra.2008.02.001-
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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