Blar i NTNU Open på forfatter "Jacobsen, Karin Marie"
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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)