A quantum analogue of generalized cluster algebras (1610.09803v2)

Published 31 Oct 2016 in math.QA

Abstract: 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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