A note on the existence of graded extensions of Poisson brackets

DOI10.1016/0393-0440(93)90086-TzbMath0789.58008OpenAlexW2038810165MaRDI QIDQ1308689

Luis A. Ibort, Juan Monterde

Publication date: 13 June 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(93)90086-t

zbMATH Keywords

symplectic supermanifoldgraded Poisson bracketPoisson supermanifold

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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Canonical structure of classical field theory in the polymomentum phase space, Recursion operators and constants of motion in supermechanics

Cites Work

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• A generalization of Hamiltonian mechanics
• Integral curves of derivations
• Symplectic structures on graded manifolds
• Extensions of the Poisson bracket to differential forms and multi-vector fields
• Introduction to Poisson supermanifolds
• A characterization of graded symplectic structures