Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV
- 주제(키워드) Quantum affine algebra , Quiver Hecke algebra , Quantum group
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 SPRINGER BASEL AG
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000139679
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00029-016-0267-5
초록/요약
Let be a twisted affine quantum group of type or and let be the finite-dimensional simple Lie algebra of type or . For a Dynkin quiver of type , we define a full subcategory of the category of finite-dimensional integrable -modules, a twisted version of the category introduced by Hernandez and Leclerc. Applying the general scheme of affine Schur-Weyl duality, we construct an exact faithful KLR-type duality functor , where is the category of finite-dimensional modules over the quiver Hecke algebra R of type with nilpotent actions of the generators . We show that sends any simple object to a simple object and induces a ring isomorphism .
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