Novel algebraic structures from the polysymplectic form in field theory

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The polysymplectic $(n+1)$-form is introduced as an analogue of the symplectic form for the De Donder-Weyl polymomentum Hamiltonian formulation of field theory. The corresponding Poisson brackets on differential forms are constructed. The analogues of the Poisson algebra are shown to be generalized (non-commutative and higher-order) Gerstenhaber algebras defined in the text.
6 pages, LaTeX. Talk at Gropu21, Goslar (Germany) 1996. Typos in math notation fixed, refs updated, minor style improvements

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High Energy Physics - Theory, Algebraic Geometry, Differential Geometry, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/149419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9612255
 http://arxiv.org/abs/hep-th/9612255
 GROUP21, Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, vol. 2, eds. H.-D. Doebner e.a. (World Sci., Singapore, 1997) p. 894

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arXiv