25 citations · 66 across the 5 of their papers we have counts for
5 papers
Quadratic algebras based on SL(NM) elliptic quantum R-matrices
I. A. Sechin, A. V. Zotov
We construct quadratic quantum algebra based on the dynamical RLL-relation for the quantum -matrix related to -bundles with nontrivial characteristic class over elliptic…
Integrable System of Generalized Relativistic Interacting Tops
I. Sechin, A. Zotov
A family of integrable models is described. On the one hand it generalizes the classical spin Ruijsenaars--Schneider systems (the case ), and on the other hand it gen…
GL(NM) quantum dynamical -matrix based on solution of the associative Yang-Baxter equation
I. Sechin, A. Zotov
In this letter we construct -valued dynamical -matrix by means of unitary skew-symmetric solution of the associative Yang-Baxter equation in the fundamental repre…
Generalized model of interacting integrable tops
A. Grekov, I. Sechin, A. Zotov
We introduce a family of classical integrable systems describing dynamics of interacting integrable tops. It extends the previously known model of interacting elli…
R-matrix-valued Lax pairs and long-range spin chains
I. Sechin, A. Zotov
In this paper we discuss -matrix-valued Lax pairs for Calogero-Moser model and their relation to integrable quantum long-range spin chains of the Haldane-Shastry-In…