On \(F\)-polynomials for generalized quantum cluster algebras and Gupta's formula

DOI10.3842/SIGMA.2024.080MaRDI QIDQ6614605

Liangang Peng, Changjian Fu, Huihui Ye

Publication date: 7 October 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

\(F\)-polynomialgeneralized cluster algebrageneralized quantum cluster algebraFock-Goncharov decompositionseparation formula

Mathematics Subject Classification ID

Group rings (16S34) Cluster algebras (13F60) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Quantum generalized cluster algebras and quantum dilogarithms of higher degrees
• Structure of seeds in generalized cluster algebras
• \(F\)-polynomials in quantum cluster algebras.
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• Generalised cluster algebras and \(q\)-characters at roots of unity
• Cluster algebras and derived categories
• Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables
• Canonical bases for cluster algebras
• Cluster algebras IV: Coefficients
• Cluster ensembles, quantization and the dilogarithm
• Exact WKB Analysis and Cluster Algebras II: Simple Poles, Orbifold Points, and Generalized Cluster Algebras
• A survey on maximal green sequences
• Gentle algebras arising from surfaces with orbifold points of order 3. I: Scattering diagrams
• Two Formulas for F-Polynomials

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