A note on the Hasse quiver of $\tau$-tilting modules

Hanpeng Gao

A note on the Hasse quiver of $\tau$-tilting modules

Representation Theory 2020-08-25 v1

Authors: Hanpeng Gao

Abstract

Let $\Lambda$ be an algebra with a indecomposable projective-injective module. Adachi gave a method to construct the Hasse quiver of support $\tau$ -tilting $\Lambda$ -modules. In this paper, we will show that it can be restricted to $\tau$ -tilting modules.

Keywords

tau-tilting modules hasse quiver support tau-tilting projective-injective module algebras

Cite

@article{arxiv.2008.10567,
  title  = {A note on the Hasse quiver of $\tau$-tilting modules},
  author = {Hanpeng Gao},
  journal= {arXiv preprint arXiv:2008.10567},
  year   = {2020}
}

Comments

6 pages, to appear JAA

Related papers

View all related →