33 citations · 45 across the 7 of their papers we have counts for
7 papers
On the thermodynamic limit of the 6-vertex model
T. C. Dorlas, M. Samsonov
We give a rigorous treatment to the thermodynamic limit of the 6-vertex model. We prove that the unique solution of the Bethe-Ansatz equation exists and the distribution of the roo…
On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization
S. M. Khoroshkin, I. I. Pop, M. E. Samsonov +2
We study classical twists of Lie bialgebra structures on the polynomial current algebra , where is a simple complex finite-dimensional Lie algebra.…
Classical quasi-trigonometric matrices of Cremmer-Gervais type and their quantization
J. Yermolova-Magnusson, M. Samsonov, A. Stolin
We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang-Baxter equatio…
Quantum seaweed algebras and quantization of affine Cremmer-Gervais r-matrices
M. Samsonov, A. Stolin, V. Tolstoy
We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang--Baxter equati…
Semi-classical twists for sl(3) and sl(4) boundary r-matrices of Cremmer-Gervais type
M. Samsonov
We obtain explicit formulas for the semi-classical twists deforming the coalgebraic structure of U(sl(3)) and U(sl(4)). In rank 2 and 3 the corresponding universal R-matrices quant…
Limit properties of quantum twists at q->1, from semi-classical twists to noncommutative geometry
Maxim Samsonov
A problem of defining the quantum analogues for semi-classical twists in is considered. First, we study specialization at of singular coboundary twists…