On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebras
DOI10.1063/5.0057668OpenAlexW4220999869MaRDI QIDQ5883920
Publication date: 17 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0057668
Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Yang-Baxter equations (16T25) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Yang-Baxter equations and Rota-Baxter operators (17B38)
Cites Work
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- Bäcklund-Darboux transformation for classical Yang-Baxter bundles
- Classification of Lie bialgebras over current algebras
- On the classical Young-Baxter equation for simple Lie algebras
- What is a classical r-matrix?
- Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras
- Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations
- Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems
- Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
- Discrete groups and the integrability of quantum systems
- On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra
- Reduction in soliton hierarchies and special points of classical \(r\)-matrices
- Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation
- Quasigraded deformations of loop algebras and classical integrable systems.
- Anisotropic BCS-Richardson model and algebraic Bethe ansatz
- Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models
- Lie algebras with triangular decompositions, non-skew-symmetric classical \(r\)-matrices and Gaudin-type integrable systems
- Classical $r$-matrices, ``elliptic BCS and Gaudin-type Hamiltonians and spectral problem
- Quasigraded Lie algebras on hyperelliptic curves and classical integrable systems
- Algebraic Bethe ansatz for deformed Gaudin model
- Quasi-periodic functions on the torus and sl(n)-elliptic Lie algebra
- Quasigraded bases in loop algebras and classical rational r-matrices
- Reductions in finite-dimensional integrable systems and special points of classical r-matrices
- Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems
- Bethe ansatz for the deformed Gaudin model
- “Many-poled” r-matrix Lie algebras, Lax operators, and integrable systems
- Non-skew-symmetric classicalr-matrices and integrable cases of the reduced BCS model
- New non-skew symmetric classicalr-matrices and ‘twisted’ quasigraded Lie algebras
- Quantum integrable systems, non-skew-symmetric r-matrices and algebraic Bethe ansatz
- On quantum integrable models related to nonlinear quantum optics. An algebraic Bethe ansatz approach
- Factorization of the Loop Algebras and Compatible Lie Brackets
- Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches
- Generalized Gaudin systems in a magnetic field and non-skew-symmetricr-matrices
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
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