Component clusters for acyclic quivers

Sarah Scherotzke. "Component clusters for acyclic quivers." Colloquium Mathematicae 144.2 (2016): 245-264. <http://eudml.org/doc/283971>.

@article{SarahScherotzke2016,
abstract = {The theory of Caldero-Chapoton algebras of Cerulli Irelli, Labardini-Fragoso and Schröer (2015) leads to a refinement of the notions of cluster variables and clusters, via so-called component clusters. We compare component clusters to classical clusters for the cluster algebra of an acyclic quiver. We propose a definition of mutation between component clusters and determine the mutation relations of component clusters for affine quivers. In the case of a wild quiver, we provide bounds for the size of component clusters.},
author = {Sarah Scherotzke},
journal = {Colloquium Mathematicae},
keywords = {cluster algebras; Caldero-Chapoton algebras; Schur roots},
language = {eng},
number = {2},
pages = {245-264},
title = {Component clusters for acyclic quivers},
url = {http://eudml.org/doc/283971},
volume = {144},
year = {2016},
}

TY - JOUR
AU - Sarah Scherotzke
TI - Component clusters for acyclic quivers
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 2
SP - 245
EP - 264
AB - The theory of Caldero-Chapoton algebras of Cerulli Irelli, Labardini-Fragoso and Schröer (2015) leads to a refinement of the notions of cluster variables and clusters, via so-called component clusters. We compare component clusters to classical clusters for the cluster algebra of an acyclic quiver. We propose a definition of mutation between component clusters and determine the mutation relations of component clusters for affine quivers. In the case of a wild quiver, we provide bounds for the size of component clusters.
LA - eng
KW - cluster algebras; Caldero-Chapoton algebras; Schur roots
UR - http://eudml.org/doc/283971
ER -