- 94-227 Alexander Verbovetsky
- LAGRANGIAN FORMALISM OVER GRADED ALGEBRAS
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Jul 7, 94
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Abstract. 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 connection between integral and differential
forms, conservation laws, Euler operator, Noether's theorem is considered.