COMBINATORIAL AUSLANDER-REITEN QUIVERS AND REDUCED EXPRESSIONS
- 주제(키워드) combinatorial AR-quiver , reduced expressions
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [Oh, Se-Jin] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Suh, Uhi Rinn] Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS, KCI등재
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2019
- URI http://www.dcollection.net/handler/ewha/000000160421
- 본문언어 영어
- Published As http://dx.doi.org/10.4134/JKMS.j180190
초록/요약
In this paper, we introduce the notion of combinatorial Auslander-Reiten (AR) quivers for commutation classes [(w) over tilde] of w in a finite Weyl group. This combinatorial object is the Hasse diagram of the convex partial order (sic)([(w) over tilde]) on the subset Phi(w) of positive roots. By analyzing properties of the combinatorial AR-quivers with labelings and reflection functors, we can apply their properties to the representation theory of KLR algebras and dual PBW-basis associated to any commutation class [(w) over tilde (0)] of the longest element w(0) of any finite type.
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