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Baker, Andrew, 1953-

Matrix groups : an introduction to Lie group theory / Andrew Baker - xi, 330 pages : illustrations ; 25 cm - Springer undergraduate mathematics series . - Springer undergraduate mathematics series .

Includes bibliographical references (pages 323-324) and index

Contents Pt. 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. Pt. II. Matrix Groups as Lie Groups. -- 7. Lie Groups. -- 8. Homogeneous Spaces. -- 9. Connectivity of Matrix Groups. Pt. 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. -- Bibliography. -- Index.

ISBN: 1852334703

Subjects--Topical Terms:
Matrix groups

LC Class. No.: QA174.2 / .B35 2006

Dewey Class. No.: