10 citations · 11 across the 3 of their papers we have counts for
3 papers · 1 filter
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…
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…
Bounded derived categories and repetitive algebras
Dieter Happel, Bernhard Keller, Idun Reiten
By a theorem due to the first author, the bounded derived category of a finite-dimensional algebra over a field embeds fully faithfully into the stable category over its repetitive…