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ISBN: 9783540152934 - Lie Groups
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Lie Groups

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J. J. Duistermaat

ISBN: 9783540152934
Format: Paperback
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K


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This is a (post)graduate textbook an Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods…

 

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This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure of compact Lie groups in terms of the action of the group on itself by conjugation, culminating in the classification of the representations of compact Lie groups and their realization as sections of holomorphic line bundles over flag manifolds. Appendices provide background reviews.
 
 

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