Novel algebraic structures from the polysymplectic form in field theory

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dc.creatorKanatchikov, I. V.
dc.date1996-12-31
dc.date1997-10-02
dc.date.accessioned2026-07-07T09:04:33Z
dc.date.available2026-07-07T09:04:33Z
dc.descriptionThe 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.
dc.description6 pages, LaTeX. Talk at Gropu21, Goslar (Germany) 1996. Typos in math notation fixed, refs updated, minor style improvements
dc.identifierhttps://arxiv.org/abs/hep-th/9612255
dc.identifierhttp://arxiv.org/abs/hep-th/9612255
dc.identifierGROUP21, Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, vol. 2, eds. H.-D. Doebner e.a. (World Sci., Singapore, 1997) p. 894
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149419
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleNovel algebraic structures from the polysymplectic form in field theory
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