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arXiv:0705.1117 [math.RT]AbstractReferencesReviewsResources

Quotients of cluster categories

Peter Jorgensen

Published 2007-05-08Version 1

Higher cluster categories were recently introduced as a generalization of cluster categories. This paper shows that in Dynkin types A and D, half of all higher cluster categories are actually just quotients of cluster categories. The other half can be obtained as quotients of 2-cluster categories, the "lowest" type of higher cluster categories. Hence, in Dynkin types A and D, all higher cluster phenomena are implicit in cluster categories and 2-cluster categories. In contrast, the same is not true in Dynkin type E.

Comments: 20 pages
Categories: math.RT
Subjects: 16G10, 16G70, 18E30, 18E35
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