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An Explicit Rational Structure for Real Semisimple Lie Algebras
Journal of Lie theory, Tome 24 (2014) no. 2, pp. 307-319
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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.
Classification : 17B20
Mots-clés : Semisimple Lie algebra, rational basis, Chevalley basis 
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     author = {H. Kammeyer},
     title = {An {Explicit} {Rational} {Structure} for {Real} {Semisimple} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {307--319},
     year = {2014},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a0/}
}
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H. Kammeyer. An Explicit Rational Structure for Real Semisimple Lie Algebras. Journal of Lie theory, Tome 24 (2014) no. 2, pp. 307-319. http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a0/