Defining an m-cluster category

[摘要] We show that a certain orbit category considered by Keller encodes the combinatorics of the m-clusters of Fornin 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 Fornin and Zelevinsky. This allows us to give type-uniform proofs of certain results of Fornin and Reading in the simply laced cases. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-01

[关键词] cluster category;generalized cluster complex;m-clusters