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A convenient criterion under which Z_2-graded operators are Hamiltonian

By Veronique Hussin and Arthemy V. Kiselev

Abstract

We formulate a simple and convenient criterion under which skew-adjoint Z_2-graded total differential operators are Hamiltonian, provided that their images are closed under commutation in the Lie algebras of evolutionary vector fields on the infinite jet spaces for vector bundles over smooth manifolds.Comment: J.Phys.Conf.Ser.: Mathematical and Physical Aspects of Symmetry. Proc. 28th Int. colloq. on group-theoretical methods in Physics (July 26-30, 2010; Newcastle-upon-Tyne, UK), 6 pages (in press

Topics: Nonlinear Sciences - Exactly Solvable and Integrable Systems, 37K05, 37K10, 37K30
Year: 2011
DOI identifier: 10.1088/1742-6596/284/1/012035
OAI identifier: oai:arXiv.org:1103.2542
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