Add to ORKGIt is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) the Lax representation can be derived straight from the map itself. A similar phenomenon for 3D consistent equations on quad-graphs has been recently discovered by A. Bobenko and one of the authors, and by F. Nijhoff
ABSTRACT The quantum Yang-Baxter equation first appeared in theoretical physics and statistical mec...
A review of some recent results on the dynamical theory of the Yang- Baxter maps (also known as set-...
We discuss the linearization of a nonautonomous nonlinear partial difference equation belonging to t...
We consider various 2D lattice equations and their integrability, from the point of view of 3D consi...
Introduction. The Yang-Baxter equation first appeared in theoretical physics. Afterwards, it proved ...
Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so contains a universal R-matrix ...
Representations of quantum superalgebras provide a natural framework in which to model supersymmetri...
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. ...
The construction of quantum knot invariants from solutions of the Yang--Baxter equation (R-matrices)...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
Abstract. In this work, we propose and investigate dynamical Yang-Baxter maps, some of which produce...
In this paper, we present multi parametric quadgraph equations which are consistent around the cube....
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discret...
We construct novel solutions to the set-theoretical entwining Yang-Baxter equation. These solutions ...
ABSTRACT The quantum Yang-Baxter equation first appeared in theoretical physics and statistical mec...
A review of some recent results on the dynamical theory of the Yang- Baxter maps (also known as set-...
We discuss the linearization of a nonautonomous nonlinear partial difference equation belonging to t...
We consider various 2D lattice equations and their integrability, from the point of view of 3D consi...
Introduction. The Yang-Baxter equation first appeared in theoretical physics. Afterwards, it proved ...
Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so contains a universal R-matrix ...
Representations of quantum superalgebras provide a natural framework in which to model supersymmetri...
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. ...
The construction of quantum knot invariants from solutions of the Yang--Baxter equation (R-matrices)...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
Abstract. In this work, we propose and investigate dynamical Yang-Baxter maps, some of which produce...
In this paper, we present multi parametric quadgraph equations which are consistent around the cube....
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discret...
We construct novel solutions to the set-theoretical entwining Yang-Baxter equation. These solutions ...
ABSTRACT The quantum Yang-Baxter equation first appeared in theoretical physics and statistical mec...
A review of some recent results on the dynamical theory of the Yang- Baxter maps (also known as set-...
We discuss the linearization of a nonautonomous nonlinear partial difference equation belonging to t...