An explicit rational structure for real semisimple Lie algebras
Representation Theory
2013-09-06 v2
Abstract
We construct a convenient basis for all real semisimple Lie algebras by means of an adapted Chevalley basis of the complexification. It determines rational and in fact half-integer structure constants which we express only in terms of the root system and the involution that defines the real structure.
Keywords
Cite
@article{arxiv.1202.0451,
title = {An explicit rational structure for real semisimple Lie algebras},
author = {Holger Kammeyer},
journal= {arXiv preprint arXiv:1202.0451},
year = {2013}
}
Comments
12 pages. Condensed final version to appear in Journal of Lie Theory