Nagy, G.P. Abh.Math.Semin.Univ.Hambg. (2002) 72: 79. doi:10.1007/BF02941666
The class of local analyitic Bruck loops (or equivalently K-loops) is strongly related to locally symmetric spaces. In particular, both have Lie triple systems as their tangent algebra. In this paper, we consider the existence and some properties of the Campbell-Hausdorff series of local analytic Bruck loops (K-loops). This formula can be used to determine the local symmetries of the associated symmetric space.
Key words and phrases
Bruck loopBol loopK-looplocal analytic loopsymmetric spaceCampbell-Hausdorff formulaLie triple system