Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality
- 주제(키워드) Auslander-Reiten quiver , Quiver Hecke algebra , Generalized quantum affine , Schur-Weyl duality
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000130515
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jalgebra.2016.03.043
초록/요약
We first provide an explicit combinatorial description of the Auslander-Reiten quiver Gamma(Q) of finite type D. Then we can investigate the categories of finite dimensional representations over the quantum affine algebra U-q'(D-n+1((i))) (i = 1,2) and the quiver Hecke algebra RDn+1, associated to Dn+1 (n >= 3), by using the combinatorial description and the generalized quantum affine Schur-Weyl duality functor. As applications, we can prove that Dorey's rule holds for the category Rep(RDn+1) and prove an interesting difference between multiplicity free positive roots and multiplicity non-free positive roots. (C) 2016 Elsevier Inc. All rights reserved.
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