Download e-book for kindle: Clifford Algebras and Spinors (London Mathematical Society by Pertti Lounesto

By Pertti Lounesto

during this ebook, Professor Lounesto bargains a special advent to Clifford algebras and spinors. The preliminary chapters will be learn by means of undergraduates; vectors, advanced numbers and quaternions are brought with an eye fixed on Clifford algebras. the following chapters also will curiosity physicists, and contain remedies of the quantum mechanics of the electron, electromagnetism and particular relativity with a flavour of Clifford algebras. This booklet additionally supplies the 1st entire survey of modern examine on Clifford algebras. a brand new category of spinors is brought, according to bilinear covariants of actual observables. This unearths a brand new type of spinors, living among the Weyl, Majorana and Dirac spinors. Scalar items of spinors are categorized through involutory anti-automorphisms of Clifford algebras. This ends up in the chessboard of automorphism teams of scalar items of spinors. at the analytic part, Brauer-Wall teams and Witt jewelry are mentioned, and Caucy's fundamental formulation is generalized to better dimensions.

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Clifford Algebras and Spinors (London Mathematical Society Lecture Note Series) by Pertti Lounesto

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