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Compact Lie Groups

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Lie Groups

Part of the book series: Universitext ((UTX))

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Abstract

Throughout this chapter, G will be a compact Lie group. It acts on itself by means of conjugation; we shall write:

$${\text{Ad}}\,{\text{g}}\left( x \right) = \,g \times {g^{ - 1}}\quad \left( {\left( {g,x} \right)\, \in G\, \times \,G} \right).$$
(3.0.1)

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Authors and Affiliations

  1. Department of Mathematics, Utrecht University, 3508 TA, Utrecht, The Netherlands

    J. J. Duistermaat & J. A. C. Kolk

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  1. J. J. Duistermaat
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  2. J. A. C. Kolk
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© 2000 Springer-Verlag Berlin Heidelberg

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Duistermaat, J.J., Kolk, J.A.C. (2000). Compact Lie Groups. In: Lie Groups. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56936-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-56936-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15293-4

  • Online ISBN: 978-3-642-56936-4

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