Geodesic
Commutators of Small Elements in Compact Semisimple Groups and Lie Algebras
Journal of Lie theory, Tome 26 (2016) no. 3, pp. 683-69
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We prove openness at the identity element of the commutator map of compact real semisimple Lie algebras and compact semisimple groups.
Classification : 22E15, 20F12
Mots-clés : Semisimple compact group, commutator, open map 
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     author = {A. D'Andrea and A. Maffei},
     title = {Commutators of {Small} {Elements} in {Compact} {Semisimple} {Groups} and {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {683--69},
     year = {2016},
     volume = {26},
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     url = {http://geodesic.mathdoc.fr/item/JLT_2016_26_3_JLT_2016_26_3_a4/}
}
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A. D'Andrea; A. Maffei. Commutators of Small Elements in Compact Semisimple Groups and Lie Algebras. Journal of Lie theory, Tome 26 (2016) no. 3, pp. 683-69. http://geodesic.mathdoc.fr/item/JLT_2016_26_3_JLT_2016_26_3_a4/