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An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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We revisit the third fundamental theorem of Lie (Lie III) for finite dimensional Lie algebras in the context of infinite dimensional matrices.
Keywords: Lie algebra; Ado theorem; integration; Lie group; infinite dimensional matrix; representation. 
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Richard D. Bourgin; Thierry P. Robart. An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a19/

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