By Pertti Lounesto

during this e-book, Professor Lounesto deals a distinct creation to Clifford algebras and spinors. The preliminary chapters might be learn by means of undergraduates; vectors, advanced 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 publication additionally provides the 1st accomplished survey of modern study 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 categorised via involutory anti-automorphisms of Clifford algebras. This ends up in the chessboard of automorphism teams of scalar items of spinors. at the analytic facet, Brauer-Wall teams and Witt earrings are mentioned, and Caucy's fundamental formulation is generalized to better dimensions.

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