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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the automorphism group of a Lie group


Author: D. Wigner
Journal: Proc. Amer. Math. Soc. 45 (1974), 140-143
MSC: Primary 22D45; Secondary 22E15, 22E20
DOI: https://doi.org/10.1090/S0002-9939-1974-0357684-0
Erratum: Proc. Amer. Math. Soc. 60 (1976), 376.
MathSciNet review: 0357684
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Abstract: It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0357684-0
Article copyright: © Copyright 1974 American Mathematical Society