Component clusters for acyclic quivers

• Autorzy: Sarah Scherotzke
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 13F60: Cluster algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 144
• Numer: 2
• Strony: 245-264

Daty

wydano

2016

Twórcy

autor

Sarah Scherotzke

• Institute of Mathematics, University of Bonn, D-53115 Bonn, Germany

Identyfikatory

DOI

10.4064/cm6691-9-2015