Brackets in the jet-bundle approach to field theory

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In the first part the sh Lie structure of brackets in field theory, described in the jet bundle context along the lines suggested by Gel'fand, Dickey and Dorfman, is analyzed. In the second part, we discuss how this description allows us to find a natural relation between the Batalin-Vilkovisky antibracket and the Poisson bracket.
15 pages AMS-latex file, talk given at the conference ``Secondary Calculus and Cohomological Physics, August 24--31, 1997, Moscow, Russia''

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