English

On cluster algebras from unpunctured surfaces with one marked point

Representation Theory 2014-07-29 v2 Combinatorics Rings and Algebras

Abstract

We extend the construction of canonical bases for cluster algebras from unpunctured surfaces to the case where the number of marked points is one, and we show that the cluster algebra is equal to the upper cluster algebra in this case.

Keywords

Cite

@article{arxiv.1407.5060,
  title  = {On cluster algebras from unpunctured surfaces with one marked point},
  author = {Ilke Canakci and Kyungyong Lee and Ralf Schiffler},
  journal= {arXiv preprint arXiv:1407.5060},
  year   = {2014}
}

Comments

13 pages, 9 Figures, v2 references added