TY - JOUR
AU - 오세진
DA - 2019
UR - http://dspace.ewha.ac.kr/handle/2015.oak/250151
AB - In 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.
LA - English
PB - Academic Press Inc.
KW - Denominator formulas
KW - Folded AR-quivers
KW - Folded distance polynomials
KW - Longest element
KW - r-cluster point
KW - Twisted AR-quivers
KW - Twisted Coxeter elements
TI - Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras
VL - 535
DO - 10.1016/j.jalgebra.2019.06.013
ER -