Browsing NTNU Open by Author "Jørgensen, Peter"
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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 ...