Clifford Algebras and Spinors

Name: Clifford Algebras and Spinors
Availability: InStock
ISBN: 9780521005517

ISBN-10: 0521005515

ISBN-13: 9780521005517

Edition: 2nd 2001 (Revised)

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

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Description:

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…

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



Preface


Mathematical Notation



Vectors and linear spaces



Complex numbers



Bivectors and the exterior algebra



Pauli spin matrices and spinors



Quaternions



The fourth dimension



The cross product



Electromagnetism



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


Index