Moufang symmetry I. Generalized Lie and Maurer-Cartan equations
Representation Theory
2016-04-15 v2 Mathematical Physics
math.MP
Abstract
The continuous Moufang loops are characterized as the algebraic systems where the associativity law is perturbed minimally. The minimal perturbation of associativity is characterized by the first- order partial differential equations, which in a natural way generalize the Lie and Maurer-Cartan equations from the theory of Lie groups.
Keywords
Cite
@article{arxiv.0802.3471,
title = {Moufang symmetry I. Generalized Lie and Maurer-Cartan equations},
author = {Eugen Paal},
journal= {arXiv preprint arXiv:0802.3471},
year = {2016}
}
Comments
6 pages, LaTeX2e, no figures. v2: exposition has been improved, the list of references remarkably extended