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On the component group of the automorphism group of a Lie group
Published online by Cambridge University Press: 09 April 2009
Abstract
Let G be a Lie group, Go the connected component of G that contains the identity, and Aut G the group of all topological automorphisms of G. In the case when G/Go is finite and G has a faithful representation, we obtain a necessary and sufficient condition for G so that Aut G has finitely many components in terms of the maximal central torus in Go.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 57 , Issue 3 , December 1994 , pp. 365 - 385
- Copyright
- Copyright © Australian Mathematical Society 1994
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