Geodesic
An Explicit Rational Structure for Real Semisimple Lie Algebras
Holger Kammeyer1
1Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany
Journal of Lie Theory, Tome 24 (2014) no. 2, pp. 307-319

Voir la notice de l'article provenant de la source Heldermann Verlag

Zbl

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

Holger Kammeyer  1

1 Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany 
Holger 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/JOLT_2014_24_2_a0/
@article{JOLT_2014_24_2_a0,
     author = {Holger 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},
     zbl = {1357.17012},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a0/}
}
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