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Zigzag strip bundles and crystals

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dc.contributor.authorKim, Jeong-Ah-
dc.contributor.authorShin, Dong-Uy-
dc.date.accessioned2022-07-16T09:08:43Z-
dc.date.available2022-07-16T09:08:43Z-
dc.date.created2021-05-12-
dc.date.issued2013-07-
dc.identifier.issn0097-3165-
dc.identifier.urihttps://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/162372-
dc.description.abstractWe introduce new combinatorial models, called zigzag strip bundles, over quantum affine algebras U-q(B-n((1))), U-q(D-n((1))) and U-q(D-n+1((2))), and show that the sets of all zigzag strip bundles for U-q(B-n((1))), U-q(D-n((1))) and U-q(D-n+1((2))) realize the crystal bases B(infinity) of U-q(-)(B-n((1))), U-q(-)(D-n((1))) and U-q(-)(D-n+1((2))), respectively. Further, we discuss the connection between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of the crystal B(infinity).-
dc.language영어-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleZigzag strip bundles and crystals-
dc.typeArticle-
dc.contributor.affiliatedAuthorShin, Dong-Uy-
dc.identifier.doi10.1016/j.jcta.2013.02.007-
dc.identifier.scopusid2-s2.0-84875235309-
dc.identifier.wosid000317086800010-
dc.identifier.bibliographicCitationJOURNAL OF COMBINATORIAL THEORY SERIES A, v.120, no.5, pp.1087 - 1115-
dc.relation.isPartOfJOURNAL OF COMBINATORIAL THEORY SERIES A-
dc.citation.titleJOURNAL OF COMBINATORIAL THEORY SERIES A-
dc.citation.volume120-
dc.citation.number5-
dc.citation.startPage1087-
dc.citation.endPage1115-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.isOpenAccessY-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusMONOMIAL REALIZATION-
dc.subject.keywordPlusQ-ANALOG-
dc.subject.keywordPlusPOLYHEDRAL REALIZATIONS-
dc.subject.keywordPlusNAKAJIMA MONOMIALS-
dc.subject.keywordPlusBASES-
dc.subject.keywordPlusREPRESENTATIONS-
dc.subject.keywordPlusCOMBINATORICS-
dc.subject.keywordPlusB(INFINITY)-
dc.subject.keywordPlusGRAPHS-
dc.subject.keywordAuthorZigzag strip bundles-
dc.subject.keywordAuthorNakajima monomials-
dc.subject.keywordAuthorKashiwara embeddings-
dc.subject.keywordAuthorCrystals-
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