The Structure of Complex Lie Groups

Clearly written and well organized, this treatise presents material not found in other books on Lie groups. It systematically explores the structural aspects of complex Lie groups, beginning with general concepts then moving to the theory of representative functions of Lie groups and the extension problem of representations. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups.

List of contents

Complex Lie Groups. Representative Functions of Lie Groups. Extensions of Representations. The Structure of Complex Lie Groups. Algebraic Subgroups of Complex Lie Groups. Observability in Complex Analytic Groups. Appendix 1: Elementary Theory of Lie Algebras. Appendix 2: Pro-affine Algebraic Groups.

About the author

Dong Hoon Lee

Summary

Explores the structural aspects of complex Lie groups, beginning with general concepts then moving to the theory of representative functions of Lie groups and the extension problem of representations.

Product details

• Authors: Dong Hoon Lee, Lee Dong Hoon
• Assisted by: Haim Brezis (Editor of the series), Ronald G. Douglas (Editor of the series), Alan Jeffrey (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2001
• EAN: 9781584882619
• ISBN: 978-1-58488-261-9
• No. of pages: 228
• Weight: 430 g
• Illustrations: schwarz-weiss Illustrationen
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / General, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Geometry / General, MATHEMATICS / Number Theory, geometry, Number Theory, Mathematical physics, Applied mathematics