Lie–Poisson structures over differential algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 3, pp. 459-472

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Based on key elements of Olver's approach to partial differential equations for Hamiltonian evolution, we propose an algebraic construction appropriate for Hamiltonian evolutionary systems with constraints.
Keywords: differential algebra, differential bicomplex, Hamiltonian map, Hamiltonian evolution system of partial differential equations
Mots-clés : Lie–Poisson structure, constraint.
V. V. Zharinov. Lie–Poisson structures over differential algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 3, pp. 459-472. http://geodesic.mathdoc.fr/item/TMF_2017_192_3_a4/
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     title = {Lie{\textendash}Poisson structures over differential algebras},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_3_a4/}
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