A quantum analogue of generalized cluster algebras

2016/10/31 by Liqian Bai, Xueqing Chen, Bai, Liqian +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1610.09803

openalex publication_date 2016/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \citeberzel. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras obtained in \citeCS\citerupel to the quantum case.

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