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Remarks on Lie triple spaces. (English) Zbl 0930.53019
Shelekhov, A. (ed.), Webs and quasigroups, 1998-1999. Tver: Tver State University. 104-105 (1999).
It is shown that the notion of Lie triple spaces introduced in [N. Hitotsuyanagy, Math. Japonica 45, 345-353 (1997; MR 98g:53038)] is isotopically equivalent to the notion of reductive loopuscular structure introduced earlier by L. V. Sabinin [Webs and quasigroups, Kalinin 1986, 86-89 (1986; Zbl 0678.53020)].
For the entire collection see [Zbl 0923.00013].
53B05 Linear and affine connections
17C36 Associated manifolds of Jordan algebras
20N10 Ternary systems (heaps, semiheaps, heapoids, etc.)
22E05 Local Lie groups
22A30 Other topological algebraic systems and their representations