Poisson and Hamiltonian superpairs over polarized associative algebras. (Q2735739)
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scientific article; zbMATH DE number 1641244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson and Hamiltonian superpairs over polarized associative algebras. |
scientific article; zbMATH DE number 1641244 |
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4 September 2001
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Poisson structure
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Hamiltonian
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Poisson and Hamiltonian superpairs over polarized associative algebras. (English)
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In this paper, the author constructs linear and quadratic Poisson superpairs on supersymmetric polynomial functions of a semi-finitely-filtered polarized \(\mathbb Z_2\)-graded associative algebra. Then, basing his work on the Adler mapping, he constructs Hamiltonian superpairs in the formal variational calculus over any finite dimensional \(\mathbb Z_{2}\)-graded associative algebra with a supersymmetric non-degenerate associative bilinear form.
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