Journal of Lie Theory

no. 2
An Explicit Rational Structure for Real Semisimple Lie Algebras
Journal of Lie Theory, Volume 24 (2014) no. 2, pp. 307-319
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.
DOI: 10.5802/jolt.785
Classification: 17B20
Keywords: Semisimple Lie algebra, rational basis, Chevalley basis 
@article{JOLT_2014_24_2_a0,
     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},
     doi = {10.5802/jolt.785},
     zbl = {1357.17012},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.785/}
}
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%J Journal of Lie Theory
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H. Kammeyer. An Explicit Rational Structure for Real Semisimple Lie Algebras. Journal of Lie Theory, Volume 24 (2014) no. 2, pp. 307-319. doi: 10.5802/jolt.785

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