2008
DOI: 10.4172/1736-4337.1000114
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Moufang loops and generalized Lie-Cartan theorem1

Abstract: Generalized Lie-Cartan theorem for linear birepresentations of an analytic Moufang loop is considered. The commutation relations of the generators of the birepresentation are found. In particular, the Lie algebra of the multiplication group of the birepresentation is explicitly given.

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