Linear Laurent phenomenon algebras
Representation Theory
2012-10-19 v2 Combinatorics
Rings and Algebras
Abstract
In [LP] we introduced Laurent phenomenon algebras, a generalization of cluster algebras. Here we give an explicit description of Laurent phenomenon algebras with a linear initial seed arising from a graph. In particular, any graph associahedron is shown to be the dual cluster complex for some Laurent phenomenon algebra.
Cite
@article{arxiv.1206.2612,
title = {Linear Laurent phenomenon algebras},
author = {Thomas Lam and Pavlo Pylyavskyy},
journal= {arXiv preprint arXiv:1206.2612},
year = {2012}
}
Comments
31 pages