New PDF release: Clifford Algebras and Spinors (London Mathematical Society

By Pertti Lounesto

ISBN-10: 0521005515

ISBN-13: 9780521005517

during this publication, Professor Lounesto bargains a different advent to Clifford algebras and spinors. The preliminary chapters should be learn by means of undergraduates; vectors, complicated numbers and quaternions are brought with a watch on Clifford algebras. the following chapters also will curiosity physicists, and comprise remedies of the quantum mechanics of the electron, electromagnetism and exact relativity with a flavour of Clifford algebras. This e-book additionally provides the 1st finished survey of contemporary learn on Clifford algebras. a brand new type of spinors is brought, in keeping with bilinear covariants of actual observables. This unearths a brand new type of spinors, dwelling among the Weyl, Majorana and Dirac spinors. Scalar items of spinors are labeled by means of 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 quintessential formulation is generalized to raised dimensions.

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


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