Geodesic
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. 
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     author = {V. V. Zharinov},
     title = {Lie--Poisson structures over differential algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {459--472},
     publisher = {mathdoc},
     volume = {192},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_3_a4/}
}
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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/