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Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics) [Hardcover]

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Item description for Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics) by Nicolas Bourbaki...

This is the English translation of Bourbaki's text Groupes et Algbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (3-540-42650-7) by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems. Chapter 8 begins with the structure of split semi-simple Lie algebras and their root systems. It goes on to describe the finite-dimensional modules for such algebras, including the character formula of Hermann Weyl. It concludes with the theory of Chevalley orders. Chapter 9 is devoted to the theory of compact Lie groups, beginning with a discussion of their maximal tori, root systems and Weyl groups. It goes on to describe the representation theory of compact Lie groups, including the application of integration to establish Weyl's formula in this context. The chapter concludes with a discussion of the actions of compact Lie groups on manifolds. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras.





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Item Specifications...


Pages   434
Est. Packaging Dimensions:   Length: 0.75" Width: 6.25" Height: 9"
Weight:   1.72 lbs.
Binding  Hardcover
Release Date   Dec 22, 2004
Publisher   Springer
ISBN  3540434054  
ISBN13  9783540434054  


Availability  0 units.


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