Finite mutation classes of coloured quivers

• Autorzy: Hermund André Torkildsen
• Języki publikacji: EN

Abstrakty

EN

We show that the mutation class of a coloured quiver arising from an m-cluster tilting object associated with a finite-dimensional hereditary algebra H, is finite if and only if H is of finite or tame representation type, or it has at most two simples. This generalizes a result known for cluster categories.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G60: Representation type (finite, tame, wild, etc.)
• 05E10: Combinatorial aspects of representation theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 1
• Strony: 53-58

Daty

wydano

2011

Twórcy

autor

Hermund André Torkildsen

• Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491 Trondheim, Norway

Identyfikatory

DOI

10.4064/cm122-1-5