×

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.

MSC:

22A30 Other topological algebraic systems and their representations
17D10 Mal’tsev rings and algebras
20N05 Loops, quasigroups
PDFBibTeX XMLCite
Full Text: EuDML EMIS