Categorical relations between Langlands dual quantum affine algebras: doubly laced types
- 주제(키워드) Longest element , r-Cluster point , Schur-Weyl diagram , Combinatorial Auslander-Reiten quivers , Langlands duality
- 주제(기타) Mathematics
- 설명문(일반) [Kashiwara, Masaki] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan; [Kashiwara, Masaki] Korea Inst Adv Study, Sch Math, Dept Math Sci, Seoul 130722, South Korea; [Oh, Se-jin] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Bronze, Green Submitted
- 발행기관 SPRINGER
- 발행년도 2019
- URI http://www.dcollection.net/handler/ewha/000000160423
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s10801-018-0829-z
초록/요약
We prove that the Grothendieck rings of category CQ(t)</mml:msubsup> over quantum affine algebras Uq</mml:msubsup>(g(t))(t=1,2) associated with each Dynkin quiver Q of finite type A2n-1 (resp. Dn+1) are isomorphic to one of the categories CQ over the Langlands dual Uq(Lg(2)) of Uq(g(2)) associated with any twisted adapted class [Q] of <mml:msub>A2n-1 (resp. <mml:msub>Dn+1). This results provide simplicity-preserving correspondences on Langlands duality for finite-dimensional representation of quantum affine algebras, suggested by Frenkel-Hernandez.
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