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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, UniversitÓ di Roma "La Sapienza", Piazzale A. Moro 5, 00185 Roma, Italy

Andrea Maffei
Dip. di Matematica, UniversitÓ di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy

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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