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- W2330768802 abstract "Let Hand K be connected, Lie subgroups of a Lie group C. The group [H , K] , generated by all commutators hkh1k l(h€H, k€K) is arcwise connected. Therefore, by a theorem of Yamabe, LH, K] is a Lie subgroup. If ~, Sl' denote the Lie algebras of Hand K , respectively , then the Lie algebra of [H , K] is the s mallest algebra containing [~ , S ], which is invariant underad~ andadSl'. An immediate consequ ence is that if Hand K are complex Lie subgroups, then [H , K] is also complex." @default.
- W2330768802 created "2016-06-24" @default.
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- W2330768802 date "1969-07-01" @default.
- W2330768802 modified "2023-09-26" @default.
- W2330768802 title "Commutator groups and algebras" @default.
- W2330768802 doi "https://doi.org/10.6028/jres.073b.025" @default.
- W2330768802 hasPublicationYear "1969" @default.
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