Moufang symmetry X. Generalized Lie and Maurer-Cartan equations of continuous Moufang transformations

Abstract

The differential equations for a continuous birepresentation of a local analytic Moufang loop are established. The commutation relations for the infinitesimal operators of the representation are found. These commutation relations can be seen as a (minimal) generalization of the Maurer-Cartan equations and do not depend on the particular birepresentation.

7 pages, LaTeX2e, no figures

References in corpus (1)

• Moufang symmetry VII. Moufang transformations

Cited by in corpus (1)

• Linear representations of formal loops