The spectrum for solutions of the modified classical Yang-Baxter equation and algebraic groups.

DOI10.1006/jabr.1998.7832zbMath1057.17501OpenAlexW2087522660MaRDI QIDQ1304999

Kaoru Ikeda

Publication date: 2 May 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7832

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

• What is a classical r-matrix?
• Hamiltonian structure of Sato's hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group
• Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• A Lie algebra structure in a formal variational calculation
• The higher order Hamiltonian structures for the modified classical Yang-Baxter equation
• Compatible poisson structures and the virasoro algebra
• On Algebraic Groups of Transformations
• Solutions of the classical Yang-Baxter equation for simple Lie algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The spectrum for solutions of the modified classical Yang-Baxter equation and algebraic groups.