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Lookup NU author(s): Professor Peter Jorgensen
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.
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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