Lagrangian Formalism Over Graded Algebras
High Energy Physics - Theory
2008-02-03 v4 alg-geom
dg-ga
Algebraic Geometry
Differential Geometry
Exactly Solvable and Integrable Systems
solv-int
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 relation between integral and differential forms, conservation laws, Euler operator, Noether's theorem is considered.
Keywords
Cite
@article{arxiv.hep-th/9407037,
title = {Lagrangian Formalism Over Graded Algebras},
author = {Alexander Verbovetsky},
journal= {arXiv preprint arXiv:hep-th/9407037},
year = {2008}
}
Comments
26 pages, AMS-TeX 2.1, to appear in J. Geom. Phys. (resubmitted because of a TeX-error)