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Quotients of cluster categories

Lookup NU author(s): Professor 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 can he obtained as quotients of cluster categories. The other Half are 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 F.

Publication metadata

Author(s): Jorgensen P

Publication type: Article

Publication status: Published

Journal: Proceedings of the Royal Society of Edinburgh: Section A, Mathematics

Year: 2010

Volume: 140

Issue: 1

Pages: 65-81

Print publication date: 04/02/2010

ISSN (print): 0308-2105

ISSN (electronic): 1473-7124

Publisher: Cambridge University Press

URL: http://dx.doi.org/10.1017/S0308210508000425

DOI: 10.1017/S0308210508000425

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