Higher-order analogues of the unitarity condition for quantum \(R\)-matrices
From MaRDI portal
Publication:520975
DOI10.1134/S0040577916110027zbMath1359.16037arXiv1511.02468MaRDI QIDQ520975
Publication date: 6 April 2017
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.02468
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)
Related Items
On R-matrix valued Lax pairs for Calogero–Moser models ⋮ Calogero-Moser model and \(R\)-matrix identities ⋮ \(R\)-matrix-valued Lax pairs and long-range spin chains ⋮ Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices ⋮ Odd supersymmetrization of elliptic R-matrices
Cites Work
- Unnamed Item
- Planck constant as spectral parameter in integrable systems and KZB equations
- Classical Yang-Baxter equation and the \(A_\infty\)-constraint
- Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI
- On the even-order vanishing of Jacobian theta functions
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
- On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model
- Dynamical symmetry of integrable quantum systems
- The Yang-Baxter equation, symmetric functions, and Schubert polynomials
- Partition function of the eight-vertex lattice model
- Yang–Baxter equations with two Planck constants
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
