Endomorphism rings of maximal rigid objects in cluster tubes

• Autorzy: Dagfinn F. Vatne
• Języki publikacji: EN

Abstrakty

EN

We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse their representation theory and prove that they are of finite type. Finally, we study the relationship between the module category and the cluster tube via the Hom-functor.

Kategorie tematyczne

• 18E30: Derived categories, triangulated categories
• 16G20: Representations of quivers and partially ordered sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 1
• Strony: 63-93

Daty

wydano

2011

Twórcy

autor

Dagfinn F. Vatne

• Institutt for Matematiske Fag, Norges Teknisk-Naturvitenskapelige Universitet, N-7491 Trondheim, Norway

Identyfikatory

DOI

10.4064/cm123-1-6