An explicit rational structure for real semisimple Lie algebras
arXiv:1202.0451
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.
12 pages. Condensed final version to appear in Journal of Lie Theory