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Projectivity of homogeneous left loops. (English) Zbl 0788.53042
Yamaguti, Kiyosi (ed.) et al., International symposium on nonassociative algebras and related topics, Hiroshima, Japan, 30 August - 1 September 1990. London etc.: World Scientific Publishing. 77-99 (1991).
The author gives a survey of the theory of homogeneous Lie loops, discusses the problem of finding geodesic homogeneous local left Lie loops on a Lie group which are in projective relation with this group and presents new examples of such local left loops.
For the entire collection see [Zbl 0777.00055].
53C30 Differential geometry of homogeneous manifolds
22E05 Local Lie groups
20N05 Loops, quasigroups