Non-Abelian Euler top

DOI10.1070/RM9988zbMATH Open1477.34034arXiv2101.00934OpenAlexW3133779963MaRDI QIDQ4992048

V. V. Sokolov

Publication date: 4 June 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Abstract: Using the nonabilinization procedure, we find an integrable matrix version of the Euler top on $mathfrak{so}_3$

Full work available at URL: https://arxiv.org/abs/2101.00934

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Cites Work

• Non-abelian evolution systems with conservation laws
• Non-commutative generalization of integrable quadratic ODE systems
• Quantisation ideals of nonabelian integrable systems

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