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ASTRALGO Science 2016 Volume 2 1606

Moufang symmetry V.
Triple closure. Loos brackets

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

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

Abstract. The triple closure of the infinitesimal translations of an analytic Moufang loop is inquired. This property is equivalent to reductivity and relates the Malcev algebras to the Lie triple systems.

3 pp, 13 Refs


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