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Anette Wrålsen

  1. Constructing tilted algebras from cluster-tilted algebras.

    Thu, 12/17/2009 - 16:01 — SomNambul
    Authors: Steffen Oppermann, Marco Angel Bertani-Økland, Anette Wrålsen
    Subjects: Representation Theory
    Abstract

    Any cluster-tilted algebra is the relation extension of a tilted algebra. We
    present a method to, given the distribution of a cluster-tilting object in the
    Auslander-Reiten quiver of the cluster category, construct all tilted algebras
    whose relation extension is the endomorphism ring of this cluster-tilting
    object.

  2. Finding a cluster-tilting object for a representation finite cluster-tilted algebra.

    Wed, 12/16/2009 - 16:01 — SomNambul
    Authors: Steffen Oppermann, Marco Angel Bertani-Økland, Anette Wrålsen
    Subjects: Representation Theory
    Abstract

    We provide a technique to find a cluster-tilting object having a given
    cluster-tilted algebra as endomorphism ring in the finite type case.

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