17 citations · 45 across the 6 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…
On the consistency of a Grassmann extended lattice Boussinesq system
Sotiris Konstantinou-Rizos
In this paper, we formulate a "Grassmann extension" scheme for constructing noncommutative (Grassmann) extensions of Yang-Baxter maps together with their associated systems of P…