Small commutators in compact semisimple Lie groups and Lie algebras
classification
🧮 math.GR
math.DG
keywords
algebrascompactgroupsidentityneighbourhoodsemisimplecommutatorcommutators
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We show that, in compact semisimple Lie groups and Lie algebras, any neighbourhood of the identity gets mapped, under the commutator map, to a neighbourhood of the identity.
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