Book contents
- Frontmatter
- Contents
- Preface
- Mathematical Notation
- 1 Vectors and linear spaces
- 2 Complex numbers
- 3 Bivectors and the exterior algebra
- 4 Pauli spin matrices and spinors
- 5 Quaternions
- 6 The fourth dimension
- 7 The cross product
- 8 Electromagnetism
- 9 Lorentz transformations
- 10 The Dirac equation
- 11 Fierz identities and boomerangs
- 12 Flags, poles and dipoles
- 13 Tilt to the opposite metric
- 14 Definitions of the Clifford algebra
- 15 Witt rings and Brauer groups
- 16 Matrix representations and periodicity of 8
- 17 Spin groups and spinor spaces
- 18 Scalar products of spinors and the chessboard
- 19 Möbius transformations and Vahlen matrices
- 20 Hypercomplex analysis
- 21 Binary index sets and Walsh functions
- 22 Chevalley's construction and characteristic 2
- 23 Octonions and triality
- A history of Clifford algebras
- Selected reading
- Index
16 - Matrix representations and periodicity of 8
Published online by Cambridge University Press: 20 November 2009
Book contents
- Frontmatter
- Contents
- Preface
- Mathematical Notation
- 1 Vectors and linear spaces
- 2 Complex numbers
- 3 Bivectors and the exterior algebra
- 4 Pauli spin matrices and spinors
- 5 Quaternions
- 6 The fourth dimension
- 7 The cross product
- 8 Electromagnetism
- 9 Lorentz transformations
- 10 The Dirac equation
- 11 Fierz identities and boomerangs
- 12 Flags, poles and dipoles
- 13 Tilt to the opposite metric
- 14 Definitions of the Clifford algebra
- 15 Witt rings and Brauer groups
- 16 Matrix representations and periodicity of 8
- 17 Spin groups and spinor spaces
- 18 Scalar products of spinors and the chessboard
- 19 Möbius transformations and Vahlen matrices
- 20 Hypercomplex analysis
- 21 Binary index sets and Walsh functions
- 22 Chevalley's construction and characteristic 2
- 23 Octonions and triality
- A history of Clifford algebras
- Selected reading
- Index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Clifford Algebras and Spinors , pp. 205 - 218Publisher: Cambridge University PressPrint publication year: 2001