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The Campbell- Hausdorff Series of Local Analytic Bruck Loops |
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| Authors: | Gábor P Nagy |
| Institution: | (1) Bolyai Institute of the University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary |
| Abstract: | 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. |
| Keywords: | and phrases" target="_blank"> and phrases Bruck loop Bol loop K-loop local analytic loop symmetric space Campbell-Hausdorff formula Lie triple system |
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