Geodesic
Commutators and Cartan Subalgebras in Lie Algebras of Compact Semisimple Lie Groups
Journal of Lie theory, Tome 27 (2017) no. 4, pp. 1027-1032
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Short proofs are given of the following facts concerning the Lie algebra g of a compact semisimple Lie group.
Classification : 22E60, 20F12
Mots-clés : Semisimple Lie Algebras, commutators, Goto's Theorem, Cartan subalgebras 
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     author = {J. Malkoun and N. Nahlus},
     title = {Commutators and {Cartan} {Subalgebras} in {Lie} {Algebras} of {Compact} {Semisimple} {Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {1027--1032},
     year = {2017},
     volume = {27},
     number = {4},
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}
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J. Malkoun; N. Nahlus. Commutators and Cartan Subalgebras in Lie Algebras of Compact Semisimple Lie Groups. Journal of Lie theory, Tome 27 (2017) no. 4, pp. 1027-1032. http://geodesic.mathdoc.fr/item/JLT_2017_27_4_JLT_2017_27_4_a6/