arXiv 0803.08402008-03-06math.RT

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

Eugen Paal

备注：: 7 pages, LaTeX2e, no figures
发表信息：: Acta Appl. Math., Vol .50 (1998), 77-91

英文摘要：

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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