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math.RT2012
τ-tilting theory
Takahide Adachi, Osamu Iyama, Idun Reiten
The aim of this paper is to introduce tau-tilting theory, which completes (classical) tilting theory from the viewpoint of mutation. It is well-known in tilting theory that an almo…
math.RT2008★ 10 cited
Mutation of cluster-tilting objects and potentials
Aslak Bakke Buan, Osamu Iyama, Idun Reiten +1
We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories is closely connected with mutation of quivers with potentials. This gives a close connecti…