Moufang symmetry IV.
Reductivity and hidden associativity. Yamaguti brackets
Tallinn University of Technology,
Ehitajate tee 5,
Received 10 January 2008; Revised 17 December 2012, 21 March 2015
The Yamaguti brackets are introduced. It is shown how the integrability conditions of the generalized Lie equations of a local analytic Moufang loop lead to the reductivity conditions. By combining this result with the triality symmetry the Sagle-Yamaguti identity is proved.
5 pp, 8 Refs
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