Periodicity, linearizability, and integrability in seed mutations of type AN(1)

DOI10.1063/5.0030007zbMath1475.37064arXiv2009.08620OpenAlexW3087594981MaRDI QIDQ5148700

Junta Matsukidaira, Atsushi Nobe

Publication date: 4 February 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08620

zbMATH Keywords

periodicitydynamic systemcluster algebraLaurent phenomenondiscrete integrabilityseed mutation

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Completely integrable discrete dynamical systems (37J70)

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