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

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

2008-03-06

arxiv.org/abs/0803.0840v1

Acta Appl. Math., Vol .50 (1998), 77-91

Mathematics

Representation Theory

7 pages, LaTeX2e, no figures

Scientific paper

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.

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