We integrate, by a constructive method, derivations of even degree on the sections of an exterior bundle by families of Z2-graded algebra automorphisms, dependent on a real parameter, and which satisfy a flow condition. We also study the case of local endomorphisms when their components of degree zero and derivations and with no component of negative degree, but then we have integral families of R-linear automorphisms. This integration method can be applied to the Frölicher—Nijenhuis derivations on the Cartan algebra of differential forms, and to the integration of superfields on graded manifolds.
KeywordsFlow Condition Group Theory Integration Method Differential Form Real Parameter
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