Moufang symmetry V. Triple closure

Abstract

Triple closure of the infinitesimal translations of an analytic Moufang loop is inquired. This property is equivalent to reductivity and relates Mal'tsev algebras to the Lie triple systems.

arXiv comment3 pages, LaTeX2e, no figures

References in corpus (3)

• Moufang symmetry I. Generalized Lie and Maurer-Cartan equations
• Moufang symmetry IV. Reductivity and hidden associativity
• Moufang symmetry III. Integrability of generalized Lie equations

Cited by in corpus (2)

• Moufang symmetry VI. Reductivity and hidden associativity in Mal'tsev algebras
• Linear representations of formal loops