In this paper, we study the factorization formulae for the Lax matrices of the classical
Ruijsenaars–Schneider and Calogero–Moser models. We review the already known results …

A bstract In this study we map the dualities observed in the framework of integrable
probabilities into the dualities familiar in a realm of integrable many-body systems. The …

In this paper we discuss R-matrix-valued Lax pairs for sl N Calogero–Moser model and their
relation to integrable quantum long-range spin chains of the Haldane–Shastry–Inozemtsev …

In this paper, for supersymmetric quantum integrable spin chains with rational G l (N| M)-
invariant R-matrices, we construct a coupled master T-operator which represents a …

We study solutions of the Bethe ansatz equations of the non-homogeneous periodic XXX
model associated to super Yangian $\mathrm Y (\mathfrak {gl} _ {m| n}) $. To a solution we …

Abstract We study the gl _ 1| 1 gl 1| 1 supersymmetric XXX spin chains. We give an explicit
description of the algebra of Hamiltonians acting on any cyclic tensor products of polynomial …

This article is devoted to the study of R-matrix-valued Lax pairs for N-body (elliptic) Calogero–
Moser models. Their matrix elements are given by quantum R-matrices of Baxter–Belavin …

In this paper, we construct the additional symmetries of the supersymmetric BKP (SBKP)
hierarchy. These additional flows constitute a B type SW 1+∞ Lie algebra because of the B …

We extend the quantum–classical duality to the trigonometric (hyperbolic) case. The duality
establishes an explicit relationship between the classical N-body trigonometric Ruijsenaars …

A bstract We study the\({\mathfrak {gl}} _ {m\mid n}\) XXX spin chains defined on tensor
products of highest weight\({\mathfrak {gl}} _ {m\mid n}\)-modules. We show that the on-shell …