关于温和代数的支撑τ-倾斜图
表示论
2024-02-15 v4 组合数学
环与代数
摘要
设为代数闭域上的有限维温和代数。我们研究的支撑τ-倾斜图的组合性质。特别地，证明了的支撑τ-倾斜图是连通的且具有所谓的面内可达性质。该性质由Fomin和Zelevinsky对簇代数的交换图所猜想，最近由Cao和Li证实。
引用
@article{arxiv.2108.01925,
title = {On support $\tau$-tilting graphs of gentle algebras},
author = {Changjian Fu and Shengfei Geng and Pin Liu and Yu Zhou},
journal= {arXiv preprint arXiv:2108.01925},
year = {2024}
}
备注
21 pages. v2: reference added, comments are welcome. v3: fix some typos, reference added, Remark 3.5 is added to discuss the converse of Prop. 3.4. v4:minor change