Book contents
- Frontmatter
- Contents
- Foreword
- 1 Linear spaces
- 2 Real and complex algebras
- 3 Exact sequences
- 4 Real quadratic spaces
- 5 The classification of real quadratic spaces
- 6 Anti-involutions of R(n)
- 7 Anti-involutions of C(n)
- 8 Quaternions
- 9 Quaternionic linear spaces
- 10 Anti-involutions of H(n)
- 11 Tensor products of algebras
- 12 Anti-involutions of 2K(n)
- 13 The classical groups
- 14 Quadric Grassmannians
- 15 Clifford algebras
- 16 Spin groups
- 17 Conjugation
- 18 2 × 2 Clifford matrices
- 19 The Cayley algebra
- 20 Topological spaces
- 21 Manifolds
- 22 Lie groups
- 23 Conformal groups
- 24 Triality
- References
- Index
18 - 2 × 2 Clifford matrices
Published online by Cambridge University Press: 22 September 2009
- Frontmatter
- Contents
- Foreword
- 1 Linear spaces
- 2 Real and complex algebras
- 3 Exact sequences
- 4 Real quadratic spaces
- 5 The classification of real quadratic spaces
- 6 Anti-involutions of R(n)
- 7 Anti-involutions of C(n)
- 8 Quaternions
- 9 Quaternionic linear spaces
- 10 Anti-involutions of H(n)
- 11 Tensor products of algebras
- 12 Anti-involutions of 2K(n)
- 13 The classical groups
- 14 Quadric Grassmannians
- 15 Clifford algebras
- 16 Spin groups
- 17 Conjugation
- 18 2 × 2 Clifford matrices
- 19 The Cayley algebra
- 20 Topological spaces
- 21 Manifolds
- 22 Lie groups
- 23 Conformal groups
- 24 Triality
- References
- Index
Summary
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- Type
- Chapter
- Information
- Clifford Algebras and the Classical Groups , pp. 167 - 177Publisher: Cambridge University PressPrint publication year: 1995