Separation of variables for the classical elliptic reflection equation algebra

DOI10.1016/j.nuclphysb.2024.116460OpenAlexW4391667237WikidataQ128722123 ScholiaQ128722123MaRDI QIDQ6121439

T. V. Skrypnik

Publication date: 26 March 2024

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2024.116460

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices
• On the classical Young-Baxter equation for simple Lie algebras
• Nonlinear Poisson structures and r-matrices
• Some algebraic structures connected with the Yang-Baxter equation
• Separation of variables in the classical \(\mathrm{SL}(N)\) magnetic chain
• New separation of variables for the classical \(XXX\) and \(XXZ\) Heisenberg spin chains
• Separation of variables in anisotropic models and non-skew-symmetric elliptic \(r\)-matrix
• R-matrices and higher Poisson brackets for integrable systems
• Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz
• Generalized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical r-matrices
• A simple model of the integrable Hamiltonian equation
• Separation of variables for linear Lax algebras and classical r-matrices
• On a class of gl(n) ⊗ gl(n)-valued classical r-matrices and separation of variables
• Separation of variables for quadratic algebras: Algebras of Maillet and reflection-equation algebras
• Separation of variables for quadratic algebras and skew-symmetric classical r-matrices
• Integrals of nonlinear equations of evolution and solitary waves
• Anisotropic Z n-graded classical r-matrix, deformed A n Toda- and Gaudin-type models, and separation of variables
• Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz
• Quadratic algebras and integrable systems

This page was built for publication: Separation of variables for the classical elliptic reflection equation algebra