A realization of the Lie algebra associated to a Kantor triple system
Rings and Algebras
2009-11-11 v1 High Energy Physics - Theory
Abstract
We present a nonlinear realization of the 5-graded Lie algebra associated to a Kantor triple system. Any simple Lie algebra can be realized in this way, starting from an arbitrary 5-grading. In particular, we get a unified realization of the exceptional Lie algebras f_4, e_6, e_7, e_8, in which they are respectively related to the division algebras R, C, H, O.
Keywords
Cite
@article{arxiv.math/0504544,
title = {A realization of the Lie algebra associated to a Kantor triple system},
author = {Jakob Palmkvist},
journal= {arXiv preprint arXiv:math/0504544},
year = {2009}
}
Comments
11 pages