Eugen Paal
Note on analytic Moufang loops

Comment.Math.Univ.Carolinae 45,2 (2004) 349-354.

Abstract: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.

Keywords: Moufang loop, Mal'tsev algebra, generalized Maurer-Cartan equations, triality
AMS Subject Classification: 20N05, 17D10