On sign-coherence of c-vectors

被引：12

作者：

Treffinger, Hipolito ^{[1
]}

机构：

[1] Univ Leicester, Dept Math, Univ Rd, Leicester LE1 7RH, Leics, England

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

c-Vector; Brick; Dimension vector; tau-Tilting theory; Stability conditions; Finite dimensional algebras; CLUSTER ALGEBRAS; REPRESENTATIONS; QUIVERS;

D O I：

10.1016/j.jpaa.2018.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a finite dimensional algebra A over an algebraically closed field, we consider the c-vectors such as defined by Fu in [18] and we give a new proof of its sign-coherence. Moreover, we characterise the modules whose dimension vectors are c-vectors as bricks respecting a functorially finiteness condition. (C) 2018 The Author. Published by Elsevier B.V.

引用

页码：2382 / 2400

页数：19

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