Mathematics – Representation Theory
Scientific paper
2006-07-06
Mathematics
Representation Theory
Version 2 is substantially shorter, more focussed, and uses less machinery. Version 3 has minor revisions following referee's
Scientific paper
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.
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