English

A quantum analogue of generalized cluster algebras

Quantum Algebra 2017-01-23 v2

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.

Keywords

Cite

@article{arxiv.1610.09803,
  title  = {A quantum analogue of generalized cluster algebras},
  author = {Liqian Bai and Xueqing Chen and Ming Ding and Fan Xu},
  journal= {arXiv preprint arXiv:1610.09803},
  year   = {2017}
}

Comments

16 pages