CLUSTER ALGEBRAS ARISING FROM INFINITY-GON

Year 2016, Volume: 19 Issue: 19, 145 - 170, 01.06.2016

Ndouné Ndouné

https://doi.org/10.24330/ieja.266199

Cited By: 1

Abstract

We introduce a handy construction of cluster algebras of type A∞,
we give a complete classification of the cluster algebras arising from the infinitygon,
and finally we construct the category of the diagonals of the infinity-gon
and show that it is triangle-equivalent to the infinite cluster category of type
A∞ described by Holm and Jørgensen.

Keywords

Cluster algebras, infinity-gon, infinite cluster category