×

zbMATH — the first resource for mathematics

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].
MSC:
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
PDF BibTeX XML Cite