Moufang loops and Lie algebras
Mathematical Physics
2009-11-10 v1 math.MP
Quantum Algebra
Abstract
It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loops. The resulting Lie algebra commutation relations are well known from the theory of alternative algebras and can be seen as a preliminary step to quantum Moufang loops.
Cite
@article{arxiv.math-ph/0307014,
title = {Moufang loops and Lie algebras},
author = {Eugen Paal},
journal= {arXiv preprint arXiv:math-ph/0307014},
year = {2009}
}
Comments
LaTeX2e, 4 pages. Presented at the 12th Colloquium 'Quantum Groups and Integrable Systems', Prague, 12-14 June 2003