9 citations · 33 across the 5 of their papers we have counts for
5 papers
Integrable open elliptic Toda chain with boundaries
A. Zotov
In this letter we discuss the classical integrable elliptic Toda chain proposed by I. Krichever. Our goal is to construct an open elliptic Toda chain with boundary terms. This is a…
Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model
A. Zotov
We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal -matrix structure of Maille…
Relativistic interacting integrable elliptic tops
A. Zotov
We propose relativistic generalization of integrable systems describing interacting elliptic tops of the Euler-Arnold type. The obtained models are elliptic integ…
Higher order analogues of unitarity condition for quantum R-matrices
A. Zotov
We prove a family of -th order identities for quantum -matrices of Baxter-Belavin type in fundamental representation. The set of identities includes the unitarity condition a…
Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices
I. Sechin, A. Zotov
In this paper we propose versions of the associative Yang-Baxter equation and higher order -matrix identities which can be applied to quantum dynamical -matrices. As is known…