On 2nd-stage quantization of quantum cluster algebras

DOI10.1016/j.jalgebra.2023.05.006zbMath1527.13022OpenAlexW4376274926MaRDI QIDQ6169060

Jie Pan, Fang Li

Publication date: 11 July 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.05.006

zbMATH Keywords

quantum cluster algebracompatible Poisson structure2nd-stage quantization

Mathematics Subject Classification ID

Poisson algebras (17B63) Quantizations, deformations for selfadjoint operator algebras (46L65) Cluster algebras (13F60)

Cites Work

• Unnamed Item
• Skein and cluster algebras of marked surfaces
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Toroidal Grothendieck rings and cluster algebras
• \(R\)-matrix realization of two-parameter quantum group \(U_{r,s}(\mathfrak {gl}_n)\)
• Quantum cluster algebras.
• Cluster algebras I: Foundations
• Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
• Quantum m*n-matrices and q-deformed Binet-Cauchy formula
• Elementary operations and Laplace's theorem on quantum matrices
• Quantum cluster algebra structures on quantum nilpotent algebras

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