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Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter equations. (English. Russian original) Zbl 0526.58017

Sov. Math., Dokl. 27, 68-71 (1983); translation from Dokl. Akad. Nauk SSSR 268, 285-287 (1983).

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
22E70 Applications of Lie groups to the sciences; explicit representations
17B99 Lie algebras and Lie superalgebras
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