路径代数挠类的格结构
表示论
2017-05-17 v2
摘要
我们考虑连通无环箭图的路径代数的模范畴。本文证明，函子有限的挠类集合构成一个格，当且仅当该箭图为 A、D、E 型 Dynkin 箭图，或者该箭图恰好有两个顶点。
引用
@article{arxiv.1312.3659,
title = {Lattice structure of torsion classes for path algebras},
author = {Osamu Iyama and Idun Reiten and Hugh Thomas and Gordana Todorov},
journal= {arXiv preprint arXiv:1312.3659},
year = {2017}
}
备注
10 pages. Minor errors are corrected, and references are updated in the second version