Moufang symmetry I. Generalized Lie and Maurer-Cartan equations

Details Moufang symmetry I. Generalized Lie and Maurer-Cartan equations Moufang symmetry I. Generalized Lie and Maurer-Cartan equations

2008-02-25

arxiv.org/abs/0802.3471v1

Mathematics

Representation Theory

7 pages, LaTeX2e, no figures

Scientific paper

The differential equations for a local analytic Moufang loop are established
and their relation with the Lie equations is explained. The commutation
relations for the infinitesimal translations of the analytic Moufang are found.
These commutation relations can be seen as a (minimal) generalization of the
Maurer-Cartan equations.

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