Clifford algebras and spinorsPertti Lounesto.
- second edition.
- Cambridge ; New York : Cambridge University Press, (c)2001.
- 1 online resource (ix, 338 pages)
- London Mathematical Society lecture note series ; 286 .
Includes bibliographies and index.
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.