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.
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 
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/
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     title = {Note on analytic {Moufang} loops},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {349--354},
     year = {2004},
     volume = {45},
     number = {2},
     mrnumber = {2075282},
     zbl = {1099.22004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2004_45_2_a14/}
}
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