Clifford algebras and spinors

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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Tác giả chính: Lounesto, Pertti
Định dạng: Sách
Ngôn ngữ:Undetermined
Được phát hành: Cambridge,New York Cambridge University Press 2001
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
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245 0 |c Pertti Lounesto 
260 |a Cambridge,New York 
260 |b Cambridge University Press 
260 |c 2001 
520 |a 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, include treatments of the quantum mechanics of the electron, electromagnetism and special relativity. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing among the Weyl, Majorana and Dirac spinors. Scalar products of spinors are categorized by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the algebraic side, Brauer/Wall groups and Witt rings are discussed, and on the analytic, Cauchy's integral formula is generalized to higher dimensions 
650 |a Clifford algebras,Spinor analysis,Đại số,Phân tích Spinor 
910 |a Nguyên 
980 |a Trung tâm Học liệu Trường Đại học Cần Thơ