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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Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia
Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, SloveniaUniv Ljubljana, Fac Educ, Ljubljana 1000, Slovenia
Repovs, Dusan D.
Zaicev, Mikhail V.
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Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119992, RussiaUniv Ljubljana, Fac Educ, Ljubljana 1000, Slovenia
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Osaka Prefecture Univ, Grad Sch Sci, Dept Phys Sci, Nakamozu Campus, Sakai, Osaka 5998531, JapanOsaka Prefecture Univ, Grad Sch Sci, Dept Phys Sci, Nakamozu Campus, Sakai, Osaka 5998531, Japan
Aizawa, N.
Kuznetsova, Z.
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Univ Fed Abc, Av Estados 5001, BR-09210580 Santo Andre, SP, BrazilOsaka Prefecture Univ, Grad Sch Sci, Dept Phys Sci, Nakamozu Campus, Sakai, Osaka 5998531, Japan
Kuznetsova, Z.
Toppan, F.
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CBPF, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, BrazilOsaka Prefecture Univ, Grad Sch Sci, Dept Phys Sci, Nakamozu Campus, Sakai, Osaka 5998531, Japan