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Acyclic quantum cluster algebras via derived Hall algebras

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 Added by Haicheng Zhang
 Publication date 2021
  fields
and research's language is English




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Let $Q$ be a finite acyclic valued quiver. We give the high-dimensional cluster multiplication formulas in the quantum cluster algebra of $Q$ with arbitrary coefficients, by applying certain quotients of derived Hall subalgebras of $Q$.



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