TY  - BOOK
AU  - Baker,Andrew
TI  - Matrix groups: an introduction to Lie group theory 
T2  - Springer undergraduate mathematics series
SN  - 1852334703
AV  - QA174.2 .B35 2006
PY  - 2006///
CY  - London, New York
PB  - Springer
KW  - Matrix groups
N1  - 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.
ER  -