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Matrix groups : an introduction to Lie group theory

Author: Andrew Baker
Publisher: London [u.a.] : Springer, ©2002.
Series: Springer undergraduate mathematics series.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The second section introduces the idea of a  Read more...

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Genre/Form: Lehrbuch
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Andrew Baker
ISBN: 1852334703 9781852334703
OCLC Number: 248616250
Description: XI, 330 S : graph. Darst.
Contents: I. Basic Ideas and Examples.- 1. Real and Complex Matrix Groups.- 2. Exponentials, Differential Equations and One-parameter Subgroups.- 3. Tangent Spaces and Lie Algebras.- 4. Algebras, Quaternions and Quaternionic Symplectic Groups.- 5. Clifford Algebras and Spinor Groups.- 6. Lorentz Groups.- II. Matrix Groups as Lie Groups.- 7. Lie Groups.- 8. Homogeneous Spaces.- 9. Connectivity of Matrix Groups.- III. Compact Connected Lie Groups and their Classification.- 10. Maximal Tori in Compact Connected Lie Groups.- 11. Semi-simple Factorisation.- 12. Roots Systems, Weyl Groups and Dynkin Diagrams.- Hints and Solutions to Selected Exercises.
Series Title: Springer undergraduate mathematics series.
Responsibility: Andrew Baker.
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From the reviews of the first edition:MATHEMATICAL REVIEWS"This excellent book gives an easy introduction to the theory of Lie groups and Lie algebras by restricting the material to real and complex Read more...

 
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