Dual numbers, weighted quivers, and extended Somos and Gale-Robinson sequences
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Publication:1792609
DOI10.1007/s10468-018-9779-3zbMath1423.11031arXiv1705.01623OpenAlexW2963675538MaRDI QIDQ1792609
Valentin Ovsienko, Sergei Tabachnikov
Publication date: 12 October 2018
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.01623
Recurrences (11B37) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)
Related Items (6)
Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group ⋮ Conway's light on the shadow of Mordell ⋮ A shadow Markov equation ⋮ Casting light on shadow Somos sequences ⋮ Shadow sequences of integers: from Fibonacci to Markov and back ⋮ An expansion formula for decorated super-Teichmüller spaces
Cites Work
- Upper bounds for mutations of potentials
- Lecture notes on cluster algebras
- Discrete integrable systems and Poisson algebras from cluster maps
- Cluster mutation-periodic quivers and associated Laurent sequences
- The Laurent phenomenon
- Perfect matchings and the octahedron recurrence
- Introducing supersymmetric frieze patterns and linear difference operators
- Perfect matchings for the three-term Gale-Robinson sequences
- Cluster algebras I: Foundations
- Birational geometry of cluster algebras
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