TY - JOUR
AU - 오세진
DA - 2016
UR - http://dspace.ewha.ac.kr/handle/2015.oak/234593
AB - 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.
LA - English
PB - ACADEMIC PRESS INC ELSEVIER SCIENCE
KW - Auslander-Reiten quiver
KW - Quiver Hecke algebra
KW - Generalized quantum affine
KW - Schur-Weyl duality
TI - Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality
VL - 460
DO - 10.1016/j.jalgebra.2016.03.043
ER -