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ASTRALGO Science 2016 Volume 2 1603

Moufang symmetry II.
Malcev algebras and triality. Yamagutian

E Paal
Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia

Received 10 January 2008; Revised 17 December 2012, 21 March 2015

Abstract. A concept of the Lie-Malcev (Mal'tsev) pair is considered. This concept is based on the generalized Maurer-Cartan equations of a local analytic Moufang loop. The triality can be seen as a fundamental property of such pairs. Based on triality, the Yamaguti map (Yamagutian) is constructed and its properties are studied.

5 pp, 8 Refs


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