Adler-Kostant-Symes systems as Lagrangian gauge theories

DOI10.1016/S0375-9601(02)00978-7zbMath0997.37029arXivmath-ph/0202033OpenAlexW2053925756MaRDI QIDQ1611190

R. Smith

Publication date: 21 August 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0202033

zbMATH Keywords

Lie algebraintegrable Hamiltonian systemscotangent Lie group bundles

Mathematics Subject Classification ID

Related Items (2)

Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems ⋮ Routh reduction and Cartan mechanics

Cites Work

• Integrable Hamiltonian systems connected with graded Lie algebras
• The solution to a generalized Toda lattice and representation theory
• Systems of Toda type, inverse spectral problems, and representation theory
• Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Regularization of Toda lattices by Hamiltonian reduction
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• On the structure of symmetric self-dual Lie algebras
• Foundations of Quantum Mechanics

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