2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149419The 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 improvementsHigh Energy Physics - TheoryAlgebraic GeometryDifferential GeometryQuantum Algebratext