Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices
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Publication:5141049
DOI10.1063/5.0016474zbMath1470.37097arXiv2005.11840OpenAlexW3105658500WikidataQ104434184 ScholiaQ104434184MaRDI QIDQ5141049
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11840
Weyl commutation relationsbirational mapsZamolodchikov tetrahedron equationDesargues latticesnon-abelian Hirota-Miwa system
Groups and algebras in quantum theory and relations with integrable systems (81R12) Rational and birational maps (14E05) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Integrable difference and lattice equations; integrability tests (39A36)
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Nonlinear Schrödinger type tetrahedron maps ⋮ Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ Non-commutative Hermite-Padé approximation and integrability ⋮ Integrability and geometry of the Wynn recurrence ⋮ Parametric 4-simplex maps of degenerated NLS type ⋮ Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation ⋮ Birational solutions to the set-theoretical 4-simplex equation ⋮ Set-theoretical solutions to the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability ⋮ Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ Non-commutative double-sided continued fractions ⋮ Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation
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