Maximal τ_d-rigid pairs
Journal article, Peer reviewed
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Date
2020Metadata
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- Institutt for matematiske fag [2351]
- Publikasjoner fra CRIStin - NTNU [37215]
Abstract
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 to the isomorphism classes of support τ-tilting pairs. This is due to Adachi, Iyama, and Reiten. The notion of (d+2)-angulated categories is a higher analogue of triangulated categories. We show a higher analogue of the above result, based on the notion of maximal τ_d-rigid pairs. Maximal τ_d-rigid pairs