51 citations · 264 across the 70 of their papers we have counts for
Showing 2012 · math.RTShow all
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math.RT2012★ 18 cited
Torsion pairs in cluster tubes
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster categories associated to tubes of finite rank. The classification is in terms of combinatorial objects called Ptol…
math.RT2012★ 13 cited
Cluster tilting vs. weak cluster tilting in Dynkin type A infinity
Thorsten Holm, Peter Jorgensen
This paper shows a new phenomenon in higher cluster tilting theory. For each positive integer d, we exhibit a triangulated category C with the following properties. On the one hand…
math.RT2012
Triangulated subcategories of extensions, stable t-structures, and triangles of recollements
Peter Jorgensen, Kiriko Kato
In a triangulated category T with a pair of triangulated subcategories X and Y, one may consider the subcategory of extensions X*Y. We give conditions for X*Y to be triangulated an…