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Clifford Algebras and Spinors by Pertti Lounesto

Clifford Algebras and Spinors

by Pertti Lounesto , J. W. S. Cassels , N. J. Hitchin
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Book cover type: Paperback
  • ISBN13: 9780521005517
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 352
  • Original Price: GBP 57.0
  • Language: English
  • Edition: Revised Edition
  • Item Weight: 518 grams
  • BISAC Subject(s): Algebra / Linear

This second edition of a popular and unique introduction to Clifford algebras and spinors has three new chapters. The beginning chapters cover the basics: vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters, which will also interest physicists, include treatments of the quantum mechanics of the electron, electromagnetism and special relativity. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing among the Weyl, Majorana and Dirac spinors. Scalar products of spinors are categorized by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the algebraic side, Brauer/Wall groups and Witt rings are discussed, and on the analytic, Cauchy's integral formula is generalized to higher dimensions.

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