Lagrangian Formalism Over Graded Algebras
classification
✦ hep-th
alg-geomdg-gamath.AGmath.DGnlin.SIsolv-int
keywords
algebrasformalismgradedlagrangiannoncommutativeoperatoradjointalgebraic
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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, Euler operator, Noether's theorem is considered.
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