Odd and even Poisson brackets in dynamic
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B. A. Kupershmidt
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Article
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1985
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Springer
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English
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On supermanifolds, two kinds of Poisson brackets are known to exist: even and odd. We present a general theory of even and odd super-Hamiltonian structures and apply it to a supersymmetric dynamics of one-dimensional fluid to derive an unusual symmetry between bosons and fermions.