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Clifford Algebras and Spinors

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ISBN-10: 0521005515

ISBN-13: 9780521005517

Edition: 2nd 2001 (Revised)

Authors: Pertti Lounesto, J. W. S. Cassels, N. J. Hitchin

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In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana…    
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Book details

Edition: 2nd
Copyright year: 2001
Publisher: Cambridge University Press
Publication date: 5/3/2001
Binding: Paperback
Pages: 352
Size: 6.06" wide x 9.02" long x 0.83" tall
Weight: 1.034
Language: English

Mathematical Notation
Vectors and linear spaces
Complex numbers
Bivectors and the exterior algebra
Pauli spin matrices and spinors
The fourth dimension
The cross product
Lorentz transformations
The 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
Mobius transformations and Vahlen matrices
Hypercomplex analysis
Binary index sets and Walsh functions
Chevalley's construction and characteristic 2
Octonions and triality
A history of Clifford algebras
Selected reading