5 citations · 21 across the 26 of their papers we have counts for
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On the relation between cluster and classical tilting
Thorsten Holm, Peter Jorgensen
Let D be a triangulated category with a cluster tilting subcategory U. The quotient category D/U is abelian; suppose that it has finite global dimension. We show that projection fr…
Calabi-Yau categories and Poincare duality spaces
Peter Jorgensen
The singular cochain complex of a topological space is a classical object. It is a Differential Graded algebra which has been studied intensively with a range of methods, not least…
Reflecting recollements
Peter Jorgensen
A recollement describes one triangulated category T as "glued together" from two others, S and U. The definition is not symmetrical in S and U, but this note shows how S and U can…
Quotients of cluster categories
Peter Jorgensen
Higher cluster categories were recently introduced as a generalization of cluster categories. This paper shows that in Dynkin types A and D, half of all higher cluster categories a…
Stable Calabi-Yau dimension for finite type selfinjective algebras
Thorsten Holm, Peter Jorgensen
We show that the Calabi-Yau dimension of the stable module category of a selfinjective algebra of finite representation type is determined by the action of the Nakayama and suspens…