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arxiv: 1610.09803 · v2 · pith:LI32XFGXnew · submitted 2016-10-31 · 🧮 math.QA

A quantum analogue of generalized cluster algebras

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keywords algebrasclusterquantumcitegeneralizedanaloguecaseberzel
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We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined in \cite{berzel}. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras obtained in \cite{CS}\cite{rupel} to the quantum case.

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