Cluster characters for 2-Calabi-Yau Frobenius extriangulated categories

2023/08/06 by Wang, Li, Wei, Jiaqun, Zhang, Haicheng · 2 citations
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2308.02987

Abstract

We define the cluster characters for 2-Calabi-Yau Frobenius extriangulated categories with cluster tilting objects. This provides a unified framework of cluster characters in 2-Calabi-Yau triangulated categories and 2-Calabi-Yau Frobenius exact categories given by Palu and Fu-Keller, respectively

Cited by

• Penrose tilings, infinite friezes, and the A_∞-singularity
• Frieze patterns in representation theory

Related

• Cluster characters
• A refined multiplication formula for cluster characters
• Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories
• The interplay between 2-and-3-Calabi--Yau triangulated categories
• Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories