Classical groups and geometric algebra / Larry C. Grove.

Format:

Book

Author/Creator:

Grove, Larry C.

Series:

Graduate studies in mathematics ; v. 39.

Graduate studies in mathematics ; v. 39

Language:

English

Subjects (All):

Group theory.

Geometry, Algebraic.

Physical Description:

x, 169 pages : illustrations ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2002]

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Contents:

Chapter 0. Permutation Actions 1

Chapter 1. The Basic Linear Groups 5

Chapter 2. Bilinear Forms 13

Chapter 3. Symplectic Groups 21

Chapter 4. Symmetric Forms and Quadratic Forms 31

Chapter 5. Orthogonal Geometry (char F [not equal] 2) 39

Chapter 6. Orthogonal Groups (char F [not equal] 2), I 45

Chapter 7. O(V), V Euclidean 59

Chapter 8. Clifford Algebras (char F [not equal] 2) 65

Chapter 9. Orthogonal Groups (char F [not equal] 2), II 75

Chapter 10. Hermitian Forms and Unitary Spaces 85

Chapter 11. Unitary Groups 93

Chapter 12. Orthogonal Geometry (char F = 2) 113

Chapter 13. Clifford Algebras (char F = 2) 119

Chapter 14. Orthogonal Groups (char F = 2) 127

Chapter 15. Further Developments 151.

Notes:

Includes bibliographical references (pages 161-163) and indexes.

ISBN:

0821820192

OCLC:

47665464