Clifford algebras and spinors /
This is the second edition of Professor Lounesto's unique introduction to Clifford algebras and spinors.
| Hlavní autor: | |
|---|---|
| Médium: | Licensed eBooks |
| Jazyk: | angličtina |
| Vydáno: |
Cambridge ; New York :
Cambridge University Press,
2001.
|
| Vydání: | 2nd ed. |
| Edice: | London Mathematical Society lecture note series ;
286. |
| On-line přístup: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552436 |
Obsah:
- Vectors and linear spaces
- Complex numbers
- Bivectors and the exterior algebras
- Pauli spin matrices and spinors
- Quaternions
- Fourth dimension
- Cross product
- Elecromagnetism
- Lorentz transformations
- Dirac equation
- Fierz identities and boomerangs
- Flags, poles and dipoles
- Tilt to the opposite metric
- Definitions of the clifford algebra
- Witt rings and brauer groups
- Matrix representations and periodicity of 8
- Spin groups and spinor spaces
- Scalar products of spinors and the chessboard
- Möbius transformations and vahlen matrices
- Hypercomplex analysis
- Binary index sets and walsh functions
- Chevalley's construction and characteristic 2
- Octonions and triality.