Quantisation ideals of nonabelian integrable systems

DOI10.1070/RM9966zbMath1500.37044arXiv2009.01838OpenAlexW3083727216MaRDI QIDQ5150147

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Publication date: 9 February 2021

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

Full work available at URL: https://arxiv.org/abs/2009.01838

zbMATH Keywords

free associative algebracommuting symmetriesquantisation of dynamical systems

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Special quantum systems, such as solvable systems (81Q80)

Related Items (5)

Non-abelian evolution systems with conservation laws ⋮ On non-abelian quadrirational Yang–Baxter maps* ⋮ On matrix Painlevé-4 equations ⋮ Non-Abelian Euler top ⋮ Quantisations of the Volterra hierarchy

Cites Work

• Nonabelian integrable systems, quasideterminants, and Marchenko lemma
• Integrable ODEs on associative algebras
• Algebraic constructions of integrable dynamical systems-extensions of the Volterra system

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