A convenient criterion under which Z_2-graded operators are Hamiltonian
Exactly Solvable and Integrable Systems
2011-04-19 v1
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.
Keywords
Cite
@article{arxiv.1103.2542,
title = {A convenient criterion under which Z_2-graded operators are Hamiltonian},
author = {Veronique Hussin and Arthemy V. Kiselev},
journal= {arXiv preprint arXiv:1103.2542},
year = {2011}
}
Comments
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)