Add to ORKGWe construct a hyperbolic modular double -- an algebra lying in between theFaddeev modular double for U_q(sl_2) and the elliptic modular double. Theintertwining operator for this algebra leads to an integral operator solutionof the Yang-Baxter equation associated with a generalized Faddeev-Volkovlattice model introduced by the second author. We describe also the L-operatorand finite-dimensional R-matrices for this model
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang Baxte...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
International audienceWe construct the Baxter operator Q(λ) for the q-Toda chain and the Toda2 chain...
We construct a hyperbolic modular double -- an algebra lying in between theFaddeev modular double fo...
International audienceWe consider finite-dimensional reductions of an integral operator with the ell...
In this review, we introduce an elliptic R-operator, which is a solution of the YangBaxter equation...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We start from known solutions of the Yang-Baxter equation with a spectralparameter defined on the te...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We consider the fermionic R-operator based on Bazhanov-Stroganov's three-parameter elliptic parametr...
For any algebra, two families of colored Yang-Baxter operators are constructed, thus producing solut...
Abstract. We start from known solutions of the Yang-Baxter equation with a spectral parameter define...
Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Stat...
The Faddeev-Volkov solution of the star-triangle relation is connected with the modular double of th...
A general method is developed for constructing representations of the Temperley-Lieb algebra, which ...
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang Baxte...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
International audienceWe construct the Baxter operator Q(λ) for the q-Toda chain and the Toda2 chain...
We construct a hyperbolic modular double -- an algebra lying in between theFaddeev modular double fo...
International audienceWe consider finite-dimensional reductions of an integral operator with the ell...
In this review, we introduce an elliptic R-operator, which is a solution of the YangBaxter equation...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We start from known solutions of the Yang-Baxter equation with a spectralparameter defined on the te...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We consider the fermionic R-operator based on Bazhanov-Stroganov's three-parameter elliptic parametr...
For any algebra, two families of colored Yang-Baxter operators are constructed, thus producing solut...
Abstract. We start from known solutions of the Yang-Baxter equation with a spectral parameter define...
Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Stat...
The Faddeev-Volkov solution of the star-triangle relation is connected with the modular double of th...
A general method is developed for constructing representations of the Temperley-Lieb algebra, which ...
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang Baxte...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
International audienceWe construct the Baxter operator Q(λ) for the q-Toda chain and the Toda2 chain...