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This article is cited in 5 scientific papers (total in 5 papers)
Integrable system of generalized relativistic interacting tops
I. A. Sechinab, A. V. Zotova a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
Abstract:
We describe a family of integrable $GL(NM)$ models generalizing classical spin Ruijsenaars–Schneider systems (the case $N=1$) on one hand and relativistic integrable tops on the $GL(N)$ Lie group (the case $M=1$) on the other hand. We obtain the described models using the Lax pair with a spectral parameter and derive the equations of motion. To construct the Lax representation, we use the $GL(N)$ $R$-matrix in the fundamental representation of $GL(N)$.
Keywords:
elliptic integrable system, spin Ruijsenaars–Schneider model, integrable interacting tops.
Received: 27.04.2020 Revised: 27.04.2020
Citation:
I. A. Sechin, A. V. Zotov, “Integrable system of generalized relativistic interacting tops”, TMF, 205:1 (2020), 55–67; Theoret. and Math. Phys., 205:1 (2020), 1291–1302
Linking options:
https://www.mathnet.ru/eng/tmf9925https://doi.org/10.4213/tmf9925 https://www.mathnet.ru/eng/tmf/v205/i1/p55
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