
Journal of Lie Theory 24 (2014), No. 2, 307319 Copyright Heldermann Verlag 2014 An Explicit Rational Structure for Real Semisimple Lie Algebras Holger Kammeyer Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany kammeyer@math.unibonn.de 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 halfinteger structure constants which we express only in terms of the root system and the involution that defines the real structure. Keywords: Semisimple Lie algebra, rational basis, Chevalley basis. MSC: 17B20 [ Fulltextpdf (377 KB)] for subscribers only. 