arXiv:math/0607173 Abstract

arXiv:math/0607173 [math.RT]Abstract References Reviews Resources

Defining an m-cluster category

Published 2006-07-06, updated 2007-09-09Version 3

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.

Comments: 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

Categories: math.RT, math.CO

Subjects: 16G20, 05E15

Keywords: m-cluster category, orbit category considerd, combinatorics, fashion similar, keller encodes

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