Lagrangian Formalism Over Graded Algebras

Details Lagrangian Formalism Over Graded Algebras Lagrangian Formalism Over Graded Algebras

1994-07-06

arxiv.org/abs/hep-th/9407037v4

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, AMS-TeX 2.1, to appear in J. Geom. Phys. (resubmitted because of a TeX-error)

Scientific paper

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, Euler operator, Noether's theorem is considered.

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