The Gaudin models based on the face-type elliptic quantum groups and the XYZ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik–Zamolodchikov equations and their solutions are given
We consider the trigonometric classical $r$-matrix for $\mathfrak{gl}_N$ andthe associated quantum G...
International audienceFollowing Sklyanin's proposal in the periodic case, we derive the generating f...
Cherednik attached to an affine Hecke algebra module a compatible system of difference equations, ca...
The $Z_n$ elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matri...
The Z(n) elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matric...
The XXZ Gaudin model with generic integrable boundaries specified by generic non-diagonal K-matrices...
The Gaudin model has been revisited many times, yet some important issues remained open so far. With...
Following Sklyanin's proposal in the periodic case, we derive the generating function of the Gaudin ...
In this thesis we improve and extend an algebraic technique pioneered by M. Gaudin. The technique is...
We study the Gaudin model associated to Lie algebras of classical types. First, we derive explicit f...
Supersymmetric t-J Gaudin models with open boundary conditions are investigated by means of the alge...
We present a comprehensive treatment of the non-periodic trigonometric sℓ(2) Gaudin model with trian...
This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solut...
We generalize the previously established connection between the off-shell Bethe ansatz equation for ...
We studied the Gaudin models with gl(1|1) symmetry that are twisted by a diagonal matrix and defined...
We consider the trigonometric classical $r$-matrix for $\mathfrak{gl}_N$ andthe associated quantum G...
International audienceFollowing Sklyanin's proposal in the periodic case, we derive the generating f...
Cherednik attached to an affine Hecke algebra module a compatible system of difference equations, ca...
The $Z_n$ elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matri...
The Z(n) elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matric...
The XXZ Gaudin model with generic integrable boundaries specified by generic non-diagonal K-matrices...
The Gaudin model has been revisited many times, yet some important issues remained open so far. With...
Following Sklyanin's proposal in the periodic case, we derive the generating function of the Gaudin ...
In this thesis we improve and extend an algebraic technique pioneered by M. Gaudin. The technique is...
We study the Gaudin model associated to Lie algebras of classical types. First, we derive explicit f...
Supersymmetric t-J Gaudin models with open boundary conditions are investigated by means of the alge...
We present a comprehensive treatment of the non-periodic trigonometric sℓ(2) Gaudin model with trian...
This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solut...
We generalize the previously established connection between the off-shell Bethe ansatz equation for ...
We studied the Gaudin models with gl(1|1) symmetry that are twisted by a diagonal matrix and defined...
We consider the trigonometric classical $r$-matrix for $\mathfrak{gl}_N$ andthe associated quantum G...
International audienceFollowing Sklyanin's proposal in the periodic case, we derive the generating f...
Cherednik attached to an affine Hecke algebra module a compatible system of difference equations, ca...
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