CLUSTER ALGEBRAS ARISING FROM INFINITY-GON

Authors : Ndouné Ndouné

Pages : 145-170

Doi:10.24330/ieja.266199

View : 17 | Download : 9

Publication Date : 2016-06-01

Article Type : Research Paper

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