On the automorphism group of a Lie group-Reference-Cited by-同舟云学术

On the automorphism group of a Lie group

Published:1974 Issue:1 Volume:45 Page:140-143
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Wigner D.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-045-01/S0002-9939-1974-0357684-0/S0002-9939-1974-0357684-0.pdf

Reference4 articles.

1. Injective morphisms of real algebraic varieties;Białynicki-Birula, Andrzej;Proc. Amer. Math. Soc.,1962

2. L. Pontrjagin, Topological groups, GITTL, Moscow, 1938; English transl., Princeton Math. Series, vol. 2, Princeton Univ. Press, Princeton, N. J., 1939. MR 1, 44.

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