Quotients of cluster categories

Peter Jorgensen

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arXiv · 0705.1117

Quotients of cluster categories

Peter Jorgensen

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Abstract

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.

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BibTeX RIS

Peter Jorgensen. 2007-05-08. Quotients of cluster categories. https://arxiv.org/abs/0705.1117

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