A generalization of a theorem of Lie, and Jordan tops

DOI10.1007/BF01208327zbMath0828.34004OpenAlexW2018065264MaRDI QIDQ1326039

S. I. Svinolupov, Vladimir Sokolov

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208327

zbMATH Keywords

Jordan algebrageneralization of the Lie-Liouville theoremintegrability of nonhomogeneous systemsJordan tops

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items

Deformations of nonassociative algebras and integrable differential equations, Integrable ordinary differential equations on free associative algebras, Nonlinear fourth-order nonlinear differential equations with solutions in the form of transcendents

Cites Work

• Triality and Lie algebras of type \(D_4\)
• Imbedding of Jordan Algebras into Lie Algebras. I
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