A. Zotov

activity

20122021

most citedTrigonometric integrable tops from solutions of associative Yang-Baxter equation

26 citations · 187 across the 16 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math-ph2019

Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations

A. Levin, M. Olshanetsky, A. Zotov

We introduce an odd supersymmetric version of the Kronecker elliptic function. It satisfies the genus one Fay identity and supersymmetric version of the heat equation. As an applic…

math.QA2019★ 10 cited

GL(NM) quantum dynamical $R$ -matrix based on solution of the associative Yang-Baxter equation

I. Sechin, A. Zotov

In this letter we construct $GL_{N M}$ -valued dynamical $R$ -matrix by means of unitary skew-symmetric solution of the associative Yang-Baxter equation in the fundamental repre…

math-ph2019★ 19 cited

Generalized model of interacting integrable tops

A. Grekov, I. Sechin, A. Zotov

We introduce a family of classical integrable systems describing dynamics of $M$ interacting $gl_{N}$ integrable tops. It extends the previously known model of interacting elli…

Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations

GL(NM) quantum dynamical R-matrix based on solution of the associative Yang-Baxter equation

Generalized model of interacting integrable tops

GL(NM) quantum dynamical $R$ -matrix based on solution of the associative Yang-Baxter equation