Pentagram maps and refactorization in Poisson-Lie groups

DOI10.1016/j.aim.2022.108476OpenAlexW2793630175WikidataQ115361979 ScholiaQ115361979MaRDI QIDQ2671928

Anton Izosimov

Publication date: 3 June 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00726

zbMATH Keywords

integrabilitydifference operatorpentagram mapPoisson-Lie grouprefactorization

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items (6)

The algebraic dynamics of the pentagram map ⋮ Pentagram-type maps and the discrete KP equation ⋮ Long‐diagonal pentagram maps ⋮ Generalized cluster structures related to the Drinfeld double of GLn$GL_n$ ⋮ Polygon recutting as a cluster integrable system ⋮ Open problems, questions and challenges in finite- dimensional integrable systems

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