POISSON BRACKET IN CLASSICAL FIELD THEORY AS A DERIVED BRACKET

DOI10.1142/S0219887808003181zbMath1161.70017arXiv0801.3023MaRDI QIDQ5505855

Simeon Pol'shin

Publication date: 28 January 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3023

zbMATH Keywords

Maxwell equationsLeibniz bracketfinite-dimensional jet bundle

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• From Poisson algebras to Gerstenhaber algebras
• Derived brackets
• Extensions of the Poisson bracket to differential forms and multi-vector fields
• Canonical structure of classical field theory in the polymomentum phase space
• The Schouten-Nijenhuis bracket and interior products
• On field theoretic generalizations of a Poisson algebra
• Z-Graded Extensions of Poisson Brackets
• THE POISSON BRACKET FOR POISSON FORMS IN MULTISYMPLECTIC FIELD THEORY

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