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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2017 Volume 192, Number 3, Pages 459–472 (Mi tmf9329)

This article is cited in 6 papers

Lie–Poisson structures over differential algebras

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: 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, Lie–Poisson structure, Hamiltonian map, Hamiltonian evolution system of partial differential equations, constraint.

Received: 09.01.2017

DOI: 10.4213/tmf9329


 English version:
Theoretical and Mathematical Physics, 2017, 192:3, 1337–1349

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