Clifford algebras and spinors [E-Book] / Pertti Lounesto.
Lounesto, Pertti, (author)
Second edition.
Cambridge : Cambridge University Press, 2001
1 online resource (ix, 338 pages)
englisch
9780521005517
9780511526022
London Mathematical Society lecture note series ; 286
Full Text
Table of Contents:
  • 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.