4 papers
Iterative construction of representations and Lax matrix factorisation
S. Derkachov, D. Karakhanyan, R. Kirschner +1
The construction of a generic representation of or of the trigonomentric deformation of its enveloping algebra known as algebraic induction is conveniently formulated…
Yang-Baxter R operators and parameter permutations
S. Derkachov, D. Karakhanyan, R. Kirschner
We present an uniform construction of the solution to the Yang- Baxter equation with the symmetry algebra and its deformations: the q-deformation and the elliptic deform…
Eigenvalues and eigenstates of the s ell_q(2)-invariant Universal R-operator defined for cyclic representations at roots of unity
D. Karakhanyan
The s ell_q(2) representations are realized in the space of polynomials for general and exceptional values of deformation parameter q and on finite set of theta-functions for cycli…
Fermionisation of the Spin-S Uimin-Lai-Sutherland Model: Generalisation of Supersymmetric t-J Model to Spin-S
J. Ambjorn, D. Karakhanyan, M. Mirumyan +1
The spin-1 Uimin-Lai-Sutherland (ULS) isotropic chain model is expressed in terms of fermions and the equivalence of the fermionic representation to the supersymmetric t-J model is…