Journal of Generalized Lie Theory and Applications

The $m$-Derivations of Analytic Vector Fields Lie Algebras

P Randriambololondrantomalala

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Abstract

We consider a (real or complex) analytic manifold $M$. Assuming that $F$ is a ring of all analytic functions, full or truncated with respect to the local coordinates on $M$; we study the $(m ≥ 2)$-derivations of all involutive analytic distributions over $F$ and their respective normalizers.

Article information

Source
J. Gen. Lie Theory Appl., Volume 10, Number S2 (2016), 5 pages.

Dates
First available in Project Euclid: 16 November 2016

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1479265221

Digital Object Identifier
doi:10.4172/1736-4337.1000S2-002

Mathematical Reviews number (MathSciNet)
MR3663971

Zentralblatt MATH identifier
1377.32009

Keywords
$m$-derivations Analytic vector fields Lie algebras Distributions Generalized foliations Stein manifolds Compact holomorphic manifolds Chevalley-Eilenberg’s cohomology Compactly supported vector fields

Citation

Randriambololondrantomalala , P. The $m$-Derivations of Analytic Vector Fields Lie Algebras. J. Gen. Lie Theory Appl. 10 (2016), no. S2, 5 pages. doi:10.4172/1736-4337.1000S2-002. https://projecteuclid.org/euclid.jglta/1479265221


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