• d-abelian quotients of (d+2)-angulated categories 

      Jacobsen, Karin Marie; Jørgensen, Peter (Journal article; Peer reviewed, 2019)
      Let T be a triangulated category. If t is a cluster tilting object and I=add t is the ideal of morphisms factoring through an object of add t, then the quotient category T/I is abelian. This is an important result of cluster ...
    • Maximal τ_d-rigid pairs 

      Jacobsen, Karin Marie; Jørgensen, Peter (Journal article; Peer reviewed, 2020)
      Let C be a 2-Calabi–Yau triangulated category, T a cluster tilting object with endomorphism algebra Γ. Consider the functor C(T,-): C -> mod Γ. It induces a bijection from the isomorphism classes of cluster tilting objects ...
    • Realizing orbit categories as stable module categories: a complete classification 

      Grimeland, Benedikte; Jacobsen, Karin Marie (Journal article; Peer reviewed, 2017)
      We classify all triangulated orbit categories of path-algebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representation-finite self-injective standard algebra. For each triangulated ...
    • Triangulated categories and localization 

      Jacobsen, Karin Marie (Master thesis, 2012)
      We study Gabriel-Zisman localization, localization by a multiplicative system and by a null system. We define the triangulated category and the derived category. Finally we describe a scheme for localization from a ...
    • Understanding module categories through triangulated categories using Auslander-Reiten theory 

      Jacobsen, Karin Marie (Doctoral thesis at NTNU;2016:223, Doctoral thesis, 2016)