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Lie Groups (Universitext) [Paperback]

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Item description for Lie Groups (Universitext) by J. J. Duistermaat & Johan A. C. Kolk...

This book is a (post)graduate textbook on Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the action of the group on itself by conjugation. The book culminates in the classification of the representations of compact Lie groups and in their realization as sections of holomorphic line bundles over flag manifolds. The relations with algebraic and analytic models are also discussed. A review of the required background material is provided in appendices.

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Item Specifications...

Pages   344
Est. Packaging Dimensions:   Length: 0.75" Width: 6.25" Height: 9.5"
Weight:   1 lbs.
Binding  Softcover
Release Date   Mar 22, 2004
Publisher   Springer
ISBN  3540152938  
ISBN13  9783540152934  

Availability  0 units.

More About J. J. Duistermaat & Johan A. C. Kolk

Register your artisan biography and upload your photo! J. J. Duistermaat was born in 1942 and has an academic affiliation as follows - Universiteit Utrecht, The Netherlands.

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Product Categories

1Books > Special Features > Formats
2Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Algebra & Trigonometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > Linear
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Linear
8Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory

Reviews - What do customers think about Lie Groups (Universitext)?

A Brilliant Book on Lie Groups  Sep 17, 2000
I have read this book with great interest. It deals with the theory of Lie groups from the global point of view, not only the usual Lie algebraic treatment. Of particular originality is the theory of orbits for compact groups, an issue with many applications such as the patterns of symmetry breaking in elementary particle physics. I also particularly appreciated the chapter about the Borel-Weil theory of representations which does not seem to be available in textbooks. The style and breadth of the exposition will certainly make it an instant classic, a perfect complement to the Lie algebra texts by Humphreys or Jacobson. I also appreciated the emphasis on the differential geometric aspects of the subject. One regret is that the authors did not delve into the orbit theory of complex Lie groups and the link with geometric invariant theory.

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