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  • Tuesday, August 21, 15:00, 7.527

    Hiroyuki Nakaoka (Kagoshima University), Finite gentle repetitions of gentle algebras and their Avella-Alaminos-Geiss invariants

  • Abstract:
    We consider a repetition procedure to construct gentle algebras out of a given gentle bound quiver. I would like to show how their Avella-Alaminos-Geiss invariants are determined by those of the original one, and how this repetition can be expressed by an upper-triangular matrix algebra. I will also mention a few cases where this procedure preserves derived equivalences.