34 citations · 123 across the 10 of their papers we have counts for
10 papers
Boltzmann weights and fusion procedure for the rational seven-vertex SOS model
Pavel V. Antonenko, Pavel A. Valinevich
We consider seven-vertex two-dimensional integrable statistical model. With the help of intertwining vector method we construct its counterpart integrable model of SOS type. More g…
Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator
S. E. Derkachov, P. A. Valinevich
The quantum SL(3,C) invariant spin magnet with infinite-dimensional principal series representation in local spaces is considered. We construct eigenfunctions of Sklyanin B-operato…
Gustafson Integrals
Sergey E. Derkachov, Alexander N. Manashov, Pavel A. Valinevich
It was shown recently that many of the Gustafson integrals appear in studies of the spin chain models. One can hope to obtain a generalization of the Gusta…
Gustafson integrals for spin magnet
S. E. Derkachov, A. N. Manashov, P. A. Valinevich
It was observed recently that the multidimensional Mellin--Barnes integrals (Gustafson's integrals) arise naturally in studies of the spin chain models. We extend this an…
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
M. V. Ioffe, D. N. Nishnianidze, P. A. Valinevich
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. T…
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…