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\({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds - MaRDI portal

\({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds (Q1103238)

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scientific article; zbMATH DE number 4052608
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\({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds
scientific article; zbMATH DE number 4052608

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    \({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds (English)
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    1986
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    Based on Kostant's notion of graded manifolds this paper studies the graded version of vectorfields and dynamical systems. Graded one- parameter groups are introduced and shown to correspond to derivations. Graded versions of the ``flow straightening'' and of the Frobenius theorem conclude the paper.
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    graded vectorfields
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    graded manifolds
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    Frobenius theorem
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