Moufang loops and generalized Lie-Cartan theorem

Details Moufang loops and generalized Lie-Cartan theorem Moufang loops and generalized Lie-Cartan theorem

2008-01-27

arxiv.org/abs/0801.4064v1

J. Gen. Lie Theory Appl., Vol. 2 (2008), No. 1, 45-49

Mathematics

Representation Theory

LaTeX2e, 5 pages, Presented at the International Conference "Loops '07", Prague, August 12-19, 2007

Scientific paper

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

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