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arXiv · 1202.0451

An explicit rational structure for real semisimple Lie algebras

Holger Kammeyer
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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.

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Holger Kammeyer. 2013-09-05. An explicit rational structure for real semisimple Lie algebras. https://arxiv.org/abs/1202.0451

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