Journal of Lie Theory

no. 2
On the Cartan Subalgebras of Lie Algebras over Small Fields
Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 511-518
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).
DOI: 10.5802/jolt.317
Classification: 17B50
Keywords: Lie algebras, Cartan subalgebras, finite fields 
@article{JOLT_2003_13_2_a11,
     author = {S. Siciliano},
     title = {On the {Cartan} {Subalgebras} of {Lie} {Algebras} over {Small} {Fields}},
     journal = {Journal of Lie Theory},
     pages = {511--518},
     year = {2003},
     volume = {13},
     number = {2},
     doi = {10.5802/jolt.317},
     zbl = {1037.17019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.317/}
}
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%A S. Siciliano
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%J Journal of Lie Theory
%D 2003
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%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.317/
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S. Siciliano. On the Cartan Subalgebras of Lie Algebras over Small Fields. Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 511-518. doi: 10.5802/jolt.317

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