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

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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.
7 pages, LaTeX2e, no figures

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Representation Theory, 20N05, 17D10

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http://salesiana.dossiersoluciones.com/handle/123456789/156323

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0840
 http://arxiv.org/abs/0803.0840
 Acta Appl. Math., Vol .50 (1998), 77-91

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arXiv