Preprint SISSA 93/94/FM mp arc 94{??? hep-th/9407037 LAGRANGIAN FORMALISM OVER GRADED ALGEBRAS
نویسندگان
چکیده
This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary rst step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green's formula, the connection between integral and di erential forms, conservation laws, Euler operator, Noether's theorem is considered. 1991 Mathematics Subject Classi cation. Primary 58E30, 58A50, 58B30; Secondary 81T60, 83E50, 16W50, 46L87, 14A22.
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This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary first step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green’s formula, the relation between integral and differential forms, conservation laws, ...
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تاریخ انتشار 1998