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Clifford Algebras and Spinors

โœ Scribed by Pertti Lounesto

Publisher
Cambridge University Press
Year
2001
Tongue
English
Leaves
346
Series
London Mathematical Society lecture note series 286
Edition
2nd ed
Category
Library
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โœฆ Synopsis

Beginning chapters, suited for undergraduates, introduce vectors, complex numbers, and quaternions as background for material on Clifford algebras. Later chapters, also of interest physicists, treat the quantum mechanics of the electron, electromagnetism, and special relativity. Recent research on Clifford algebras is surveyed, and a new classification of spinors is introduced, based on bilinear covariants of physical observables. Scalar products of spinors are classified by involuntary anti-automorphisms of Clifford algebras. Brauer-Wall groups and Witt rings are discussed, and Cauchy's integral formula is generalized to higher dimensions. The author is affiliated with Helsinki Polytechnic Stadia.

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Clifford Algebras and Spinors
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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,

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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,