arXiv Analytics

Sign in

arXiv:1001.4365 [math.RT]AbstractReferencesReviewsResources

Notes on the cluster multiplication formulas for 2-Calabi-Yau categories

Ming Ding, Fan Xu

Published 2010-01-25, updated 2010-01-30Version 2

Y. Palu has generalized the cluster multiplication formulas to 2-Calabi-Yau categories with cluster tilting objects (\cite{Palu2}). The aim of this note is to construct a variant of Y. Palu's formula and deduce a new version of the cluster multiplication formula (\cite{XiaoXu}) for acyclic quivers in the context of cluster categories.

Related articles: Most relevant | Search more
arXiv:1706.06866 [math.RT] (Published 2017-06-20)
A bijection between $m$-cluster-tilting objects and $(m+2)$-angulations in $m$-cluster categories
arXiv:math/0608727 [math.RT] (Published 2006-08-29)
$m$-cluster categories and $m$-replicated algebras
arXiv:0710.2860 [math.RT] (Published 2007-10-15)
Universal derived equivalences of posets of cluster tilting objects