Lax Matrices for Yang-Baxter Maps

DOI10.2991/jnmp.2003.10.s2.8zbMath1362.17025OpenAlexW2106333559MaRDI QIDQ5346873

Daniel Larsson, Sergei D. Silvestrov

Publication date: 30 May 2017

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

Full work available at URL: https://doi.org/10.2991/jnmp.2003.10.s2.8

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Difference equations, scaling ((q)-differences) (39A13)

Related Items (5)

\(q\)-deformed Loewner evolution ⋮ Lax Matrices for Yang-Baxter Maps ⋮ Integrable extensions of the Adler map via Grassmann algebras ⋮ Algebraic curves for commuting elements in the \(q\)-deformed Heisenberg algebra ⋮ Poisson Yang-Baxter maps with binomial Lax matrices

Cites Work

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• Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle
• Tau function solutions to a \(q\)-deformation of the KP hierarchy
• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• The spectrum of difference operators and algebraic curves
• The solution to the \(q\)-KdV equation
• Solutions to Frenkel's deformation of the KP hierarchy
• Commuting flows and conservation laws for Lax equations
• Hamiltonian and algebro-geometric integrals of stationary equations of KdV type
• The bispectral property of aq-deformation of the Schur polynomials and theq-KdV hierarchy
• Algèbres commutatives d'opérateurs aux q-différences et systèmes de Calogero—Moser
• Lax Matrices for Yang-Baxter Maps

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