Rigid potentials for cluster algebras from double Bruhat cells
Representation Theory
2018-11-07 v1
Abstract
Buan, Iyama, Reiten and Smith proved that the superpotential of a quiver corresponding to an element of Coxeter group is rigid. In this paper, we extend this result to the Berenstein-Fomin-Zelevinsky quivers corresponding to double Bruhat cells of symmetric Kac-Moody algebras. We also realize these quivers as dimers models on cylinder over corresponding graphs.
Cite
@article{arxiv.1811.02428,
title = {Rigid potentials for cluster algebras from double Bruhat cells},
author = {Maitreyee C. Kulkarni},
journal= {arXiv preprint arXiv:1811.02428},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1704.07454