8 citations · 12 across the 2 of their papers we have counts for
4 papers
Cluster algebras associated with extended Dynkin quivers
Aslak Bakke Buan, Idun Reiten
We show that the mutation class of a finite quiver without oriented cycles is finite if and only is the quiver is either Dynkin, extended Dynkin or has at most two vertices.
Infinite dimensional representations of canonical algebras
Idun Reiten, Claus Michael Ringel
The aim of this paper is to extend the structure theory for infinitely generated modules over tame hereditary algebras to the more general case of modules over concealed canonical…
Grothendieck groups and tilting objects
I. Reiten, M. Van den Bergh
Let C be a connected noetherian hereditary abelian Ext-finite category with Serre functor over an algebraically closed field k, with finite dimensional homomorphism and extension s…
Noetherian hereditary categories satisfying Serre duality
Idun Reiten, Michel Van den Bergh
In this paper we classify noetherian hereditary abelian categories satisfying Serre duality in the sense of Bondal and Kapranov. As a consequence we obtain a classification of satu…