GIT-equivalence and semi-stable subcategories of quiver representations

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Chindris, Calin¹  Granger, Valerie^1,2 

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Coker Coll, Sci & Math Dept, Hartsville, SC 29550 USA

关键词: Semi-stable quiver representations;    GIT-cones;    Schur roots;    Tame quivers;   

DOI  :  10.1016/j.jpaa.2018.11.014

来源: Elsevier

【 摘 要 】

In this paper, we answer the question of when the subcategory of semi-stable representations is the same for two rational vectors for an acyclic quiver. This question has been previously answered by Ingalls, Paquette, and Thomas in the tame case in [14]. Here we take a more invariant theoretic approach, to answer this question in general. We recover the known result in the tame case. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free