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

Mathematics – Representation Theory

Scientific paper

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8 pages

Scientific paper

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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