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arXiv · 0803.0840

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

Eugen Paal
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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.

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Eugen Paal. 2008-03-06. Moufang symmetry X. Generalized Lie and Maurer-Cartan equations of continuous Moufang transformations. https://arxiv.org/abs/0803.0840

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