A convenient criterion under which Z_2-graded operators are Hamiltonian

Details A convenient criterion under which Z_2-graded operators are Hamiltonian A convenient criterion under which Z_2-graded operators are Hamiltonian

2011-03-13

arxiv.org/abs/1103.2542v1

J.Phys. Conf.Ser. 284 (2011) 012035, 1-6

Nonlinear Sciences

Exactly Solvable and Integrable Systems

J.Phys.Conf.Ser.: Mathematical and Physical Aspects of Symmetry. Proc. 28th Int. colloq. on group-theoretical methods in Physi

Scientific paper

10.1088/1742-6596/284/1/012035

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.

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