2020/10/01 by Ivan Sechin, I. Sechin, A. Zotov · 9 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Classical mechanics #Integrable system #Lax pair #Mathematical physics #Mathematics #Matrix (chemical analysis) #Motion (physics) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Representation (politics) #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1134/s0040577920100049
published in Theoretical and Mathematical Physics 205(1), 1291-1302 (Pleiades Publishing) · 13 pages
openalex publication_date 2020/10/01 · arxiv created 2020/11/19 · arxiv updated 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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) .