Geodesic
On the Cartan Subalgebras of Lie Algebras over Small Fields
Journal of Lie theory, Tome 13 (2003) no. 2, pp. 511-518.

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

We study Cartan subalgebras of Lie algebras defined over finite fields. We prove that a possible Lie algebra of minimal dimension without Cartan subalgebras is semisimple. Subsequently, we study Cartan subalgebras of gl(n, F).
Classification : 17B50
Mots-clés : Lie algebras, Cartan subalgebras, finite fields 
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     author = {S. Siciliano },
     title = {On the {Cartan} {Subalgebras} of {Lie} {Algebras} over {Small} {Fields}},
     journal = {Journal of Lie theory},
     pages = {511--518},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2003},
     url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a11/}
}
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S. Siciliano . On the Cartan Subalgebras of Lie Algebras over Small Fields. Journal of Lie theory, Tome 13 (2003) no. 2, pp. 511-518. http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a11/