Abstract
Hom- and Riedtmann configurations were studied in the context of stable module categories of selfinjective algebras and a certain orbit category C1(Q) of the bounded derived category of a Dynkin quiver Q, which is highly reminiscent of the cluster category. The category C1(Q) is (−1)-Calabi–Yau. In this paper we consider triangulated categories generated by w-spherical objects, for w<0, and higher versions of the orbit category C1(An), denoted by C|w|(An). These categories have also negative Calabi–Yau dimension. We classify the (higher) Hom- and Riedtmann configurations for these categories, and link them with noncrossing partitions in the case w=−1. Along the way, we obtain a geometric model for C|w|(An).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
