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

Representation Theory 2010-01-30 v2 Rings and Algebras

Abstract

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.

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Cite

@article{arxiv.1001.4365,
  title  = {Notes on the cluster multiplication formulas for 2-Calabi-Yau categories},
  author = {Ming Ding and Fan Xu},
  journal= {arXiv preprint arXiv:1001.4365},
  year   = {2010}
}

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8 pages