Defining an m-cluster category
Abstract
Description
We show that a certain orbit category considerd by Keller encodes the combinatorics of the $m$-clusters of Fomin and Reading in a fashion similar to the way the cluster category of Buan, Marsh, Reineke, Reiten, and Todorov encodes the combinatorics of the clusters of Fomin and Zelevinsky. This allows us to give type-uniform proofs of certain results of Fomin and Reading in the simply laced cases.
Version 2 is substantially shorter, more focussed, and uses less machinery. Version 3 has minor revisions following referee's suggestions, and some sign corrections. To appear in J. Alg. 10 pages
Version 2 is substantially shorter, more focussed, and uses less machinery. Version 3 has minor revisions following referee's suggestions, and some sign corrections. To appear in J. Alg. 10 pages