In this paper we continue our classification of regular solutions of the Yang-Baxter equation
using the method based on the spin chain boost operator developed in\cite {deLeeuw …

We examine the wavefunctions and their scalar products of a one-parameter family of
integrable five-vertex models. At a special point of the parameter, the model investigated is …

We study the matrix ansatz in the quantum group framework, applying integrable systems
techniques to statistical physics models. We start by reviewing the two approaches, and then …

The formal derivatives of the Yang–Baxter equation with respect to its spectral parameters,
evaluated at some fixed point of these parameters, provide us with two systems of differential …

We classify'all'Hamiltonians with rank 1 symmetry and nearest-neighbour interactions, acting
on a periodic three-state spin chain, and solvable through (generalization of) the coordinate …

A unified approach is applied in the consideration of the multi-parametric (colored) Yang–
Baxter equations (YBE) and the usual YBE with two-parametric R-matrices, relying on the …

We investigate the Yang–Baxter algebra for U (1) invariant three-state vertex models whose
Boltzmann weights configurations break explicitly the parity–time reversal symmetry. We …

Using the nested coordinate Bethe ansatz, we study 3-state Hamiltonians with 33 non-
vanishing entries, or 33-vertex models, where only one global charge with degenerate …

In the first part of the thesis we construct models, called integrable, in which we can perform
exact computations of physical quantities. We introduce several new out-of-equilibrium …

The determinantal form of the partition function of the 6 6-vertex model with domain wall
boundary conditions was given by Izergin. It is known that for a special value of the crossing …