Generalized Heisenberg equations on \(\mathbb{Z}\)-graded Lie algebras

DOI10.1007/BF02557409zbMath0999.37050MaRDI QIDQ1567814

Igor Z. Golubchik, Vladimir Sokolov

Publication date: 5 December 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

integrable systemsHeisenberg equation\(\mathbb{Z}\)-graded Lie algebras

Mathematics Subject Classification ID

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)

Related Items

Deformations of loop algebras and integrable systems: hierarchies of integrable equations, Multicomponent generalization of the hierarchy of the Landau-Lifshits equation, Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations

Cites Work

• What is a classical r-matrix?
• Integrable equations on \(\mathbb Z\)-graded Lie algebras
• Deformations of triple-Jordan systems and integrable equations
• Hamiltonian pairs associated with skew-symmetric Killing tensors on spaces of constant curvature
• Vector-matrix generalizations of classical integrable equations
• On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
• Solutions of the classical Yang-Baxter equation for simple Lie algebras
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