English

The classification of \tau-tilting modules over Nakayama algebras

Representation Theory 2015-08-11 v3 Combinatorics

Abstract

In this paper, we study tau-tilting modules over Nakayama algebras. We establish bijections between tau-tilting modules, triangulations of a polygon with a puncture and certain integer sequences. Moreover, we give an algorithm to construct the Hasse quiver of support tau-tilting modules by using Rejection Lemma of Drozd-Kirichenko.

Keywords

Cite

@article{arxiv.1309.2216,
  title  = {The classification of \tau-tilting modules over Nakayama algebras},
  author = {Takahide Adachi},
  journal= {arXiv preprint arXiv:1309.2216},
  year   = {2015}
}