Abstract
We use the maximal faces of the m-cluster complex of type A n introduced in Fomin and Reading (2005) [9] to describe the m-cluster tilted algebras of type A n as quivers with relations. We then classify connected components of m-cluster tilted algebras of type A n up to derived equivalence using tilting complexes directly related to the combinatorics of the m-cluster complex of type A n . This generalizes a result of Buan and Vatne (2008) [7].
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.
