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