Note on analytic Moufang loops. (English) Zbl 1099.22004

Summary: 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.


22A30 Other topological algebraic systems and their representations
17D10 Mal’tsev rings and algebras
20N05 Loops, quasigroups
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