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Classical Groups and Geometric Algebra
About this Title
Larry C. Grove, University of Arizona, Tuscon, AZ
Publication: Graduate Studies in Mathematics
Publication Year:
2002; Volume 39
ISBNs: 978-0-8218-2019-3 (print); 978-1-4704-2091-8 (online)
DOI: https://doi.org/10.1090/gsm/039
MathSciNet review: MR1859189
MSC: Primary 20G15; Secondary 11E57
Table of Contents
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Front/Back Matter
Chapters
- Chapter 0. Permutation actions
- Chapter 1. The basic linear groups
- Chapter 2. Bilinear forms
- Chapter 3. Symplectic groups
- Chapter 4. Symmetric forms and quadratic forms
- Chapter 5. Orthogonal geometry (char $F\ne 2$)
- Chapter 6. Orthogonal groups (char $F \ne 2$), I
- Chapter 7. $O(V)$, $V$ Euclidean
- Chapter 8. Clifford algebras (char $F \ne 2$)
- Chapter 9. Orthogonal groups (char $F \ne 2$), II
- Chapter 10. Hermitian forms and unitary spaces
- Chapter 11. Unitary groups
- Chapter 12. Orthogonal geometry (char $F = 2$)
- Chapter 13. Clifford algebras (char $F = 2$)
- Chapter 14. Orthogonal groups (char $F = 2$)
- Chapter 15. Further developments