Journal of Lie Theory 26 (2016), No. 3, 683--690
Copyright Heldermann Verlag 2016
Commutators of Small Elements in Compact Semisimple Groups and Lie Algebras
Alessandro D'Andrea
Dip. di Matematica, Università di Roma "La Sapienza", Piazzale A. Moro 5, 00185 Roma, Italy
dandrea@mat.uniroma1.it
Andrea Maffei
Dip. di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy
maffei@dm.unipi.it
We prove openness at the identity element of the commutator map of compact real semisimple Lie algebras and compact semisimple groups.
Keywords: Semisimple compact group, commutator, open map.
MSC: 22E15, 20F12
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