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The Schouten bracket and Hamilton operators. (Russian) Zbl 0444.58010

MSC:
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
35Q53 KdV equations (Korteweg-de Vries equations)
17B80 Applications of Lie algebras and superalgebras to integrable systems
53D50 Geometric quantization
58J99 Partial differential equations on manifolds; differential operators
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