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dc.contributor.author오세진-
dc.date.accessioned2019-07-22T16:30:45Z-
dc.date.available2019-07-22T16:30:45Z-
dc.date.issued2019-
dc.identifier.issn0021-8693-
dc.identifier.otherOAK-25090-
dc.identifier.urihttp://dspace.ewha.ac.kr/handle/2015.oak/250151-
dc.description.abstractIn this paper, we introduce twisted and folded AR-quivers of type A2n+1, Dn+1, E6 and D4 associated to (triply) twisted Coxeter elements. Using the quivers of type A2n+1 and Dn+1, we describe the denominator formulas and Dorey's rule for quantum affine algebras Uq ′(Bn+1 (1)) and Uq ′(C(1) n), which are important information of representation theory of quantum affine algebras. More precisely, we can read the denominator formulas for Uq ′(Bn+1 (1)) (resp. Uq ′(Cn (1))) using certain statistics on any folded AR-quiver of type A2n+1 (resp. Dn+1) and Dorey's rule for Uq ′(Bn+1 (1)) (resp. Uq ′(Cn (1))) applying the notion of minimal pairs in a twisted AR-quiver. By adopting the same arguments, we propose the conjectural denominator formulas and Dorey's rule for Uq ′(F4 (1)) and Uq ′(G2 (1)). © 2019 Elsevier Inc.-
dc.languageEnglish-
dc.publisherAcademic Press Inc.-
dc.subjectDenominator formulas-
dc.subjectFolded AR-quivers-
dc.subjectFolded distance polynomials-
dc.subjectLongest element-
dc.subjectr-cluster point-
dc.subjectTwisted AR-quivers-
dc.subjectTwisted Coxeter elements-
dc.titleTwisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras-
dc.typeArticle-
dc.relation.volume535-
dc.relation.indexSCI-
dc.relation.indexSCIE-
dc.relation.indexSCOPUS-
dc.relation.startpage53-
dc.relation.lastpage132-
dc.relation.journaltitleJournal of Algebra-
dc.identifier.doi10.1016/j.jalgebra.2019.06.013-
dc.identifier.wosidWOS:000480373700003-
dc.identifier.scopusid2-s2.0-85068384653-
dc.author.googleSuh U.R.-
dc.author.googleOh S.-J.-
dc.contributor.scopusid오세진(55636183200)-
dc.date.modifydate20191029103759-
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자연과학대학 > 수학전공 > Journal papers
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