Clifford Algebras and Spinors (London Mathematical Society by Pertti Lounesto

By Pertti Lounesto

during this publication, Professor Lounesto bargains a distinct advent to Clifford algebras and spinors. The preliminary chapters might be learn by way of undergraduates; vectors, complicated numbers and quaternions are brought with a watch 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 ebook additionally offers the 1st complete survey of contemporary learn on Clifford algebras. a brand new category of spinors is brought, according to bilinear covariants of actual observables. This unearths a brand new classification of spinors, living among the Weyl, Majorana and Dirac spinors. Scalar items of spinors are labeled 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 earrings are mentioned, and Caucy's necessary formulation is generalized to raised dimensions.

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