PUB - Publikationen an der Universität Bielefeld

Let J be a 2-Calabi-Yau triangulated category, T a cluster tilting object with endomorphism algebra r. Consider the functor J(T, -) : J -> mod Gamma. It induces a bijection from the isomorphism classes of cluster tilting objects to the isomorphism classes of support tau-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 tau(d)-rigid pairs. (C) 2019 The Authors. Published by Elsevier Inc.