10 citations · 28 across the 5 of their papers we have counts for
7 papers
From NLS type matrix refactorisation problems to set-theoretical solutions of the 2- and 3-simplex equations
Sotiris Konstantinou-Rizos
We present a method for constructing hierarchies of solutions to -simplex equations by variating the spectral parameter in their Lax representation. We use this method to derive…
Local Yang--Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation
S. Igonin, S. Konstantinou-Rizos
We study tetrahedron maps, which are set-theoretical solutions to the Zamolodchikov tetrahedron equation, and their matrix Lax representations defined by the local Yang--Baxter equ…
Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems
Sotiris Konstantinou-Rizos
It is known that the local Yang--Baxter equation is a generator of potential solutions to Zamolodchikov's tetrahedron equation. In this paper, we show under which additional condit…
Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation
Sergei Igonin, Sotiris Konstantinou-Rizos
We present several algebraic and differential-geometric constructions of tetrahedron maps, which are set-theoretical solutions to the Zamolodchikov tetrahedron equation. In particu…
Tetrahedron maps, Yang-Baxter maps, and partial linearisations
S. Igonin, V. Kolesov, S. Konstantinou-Rizos +1
We study tetrahedron maps, which are set-theoretical solutions to the Zamolodchikov tetrahedron equation, and Yang-Baxter maps, which are set-theoretical solutions to the quantum Y…
Nonlinear Schrödinger type tetrahedron maps
Sotiris Konstantinou-Rizos
This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation. We present a…