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arXiv · 1610.09803

A quantum analogue of generalized cluster algebras

Liqian Bai·Xueqing Chen·Ming Ding·Fan Xu
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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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Liqian Bai, Xueqing Chen, Ming Ding, Fan Xu. 2016-10-31. A quantum analogue of generalized cluster algebras. https://arxiv.org/abs/1610.09803

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