Description: 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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EAN: 9780521005517
UPC: 9780521005517
ISBN: 9780521005517
MPN: N/A
Book Title: Clifford Algebras and Spinors (London Mathematical
Item Length: 22.9 cm
Number of Pages: 352 Pages
Publication Name: Clifford Algebras and Spinors
Language: English
Publisher: Cambridge University Press
Item Height: 229 mm
Subject: Mathematics
Publication Year: 2001
Type: Textbook
Item Weight: 478 g
Author: Pertti Lounesto
Item Width: 154 mm
Series: London Mathematical Society Lecture Note Series
Format: Paperback