Structures Preserved by Exceptional Lie Algebras
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
For sp(n+2) and each exceptional Lie algebra a realization of depth 2 preserving the spaces spanned by a contact one-form and a bilinear form is given. For e_7 and e_6 a realization of depth 1 preserving a lightcone and the space spanned by a bilinear form is also presented. This makes the origin of the exceptions clear.
Keywords
Cite
@article{arxiv.math-ph/0301006,
title = {Structures Preserved by Exceptional Lie Algebras},
author = {T. A. Larsson},
journal= {arXiv preprint arXiv:math-ph/0301006},
year = {2007}
}