Moufang loops and generalized Lie-Cartan theorem
Representation Theory
2008-05-02 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0801.4064,
title = {Moufang loops and generalized Lie-Cartan theorem},
author = {Eugen Paal},
journal= {arXiv preprint arXiv:0801.4064},
year = {2008}
}
Comments
LaTeX2e, 5 pages, Presented at the International Conference "Loops '07", Prague, August 12-19, 2007