Geodesic
Note on analytic Moufang loops
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 2, pp. 349-354.

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It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loops. The resulting Lie algebra commutation relations are well known from the theory of alternative algebras.
Classification : 17D10, 20N05, 22A30
Keywords: Moufang loop; Mal'tsev algebra; generalized Maurer-Cartan equations; triality 
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Paal, Eugen. Note on analytic Moufang loops. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 2, pp. 349-354. http://geodesic.mathdoc.fr/item/CMUC_2004__45_2_a14/