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The theory of spinors. An introduction. (English) Zbl 1057.81039
Singapore: World Scientific (ISBN 981-02-4261-1/hbk). xiii, 212 p. (2000).
Publisher’s description: Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors – results that could not have been obtained by using tensor methods only. The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles. The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.
Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.

MSC:
81R25 Spinor and twistor methods applied to problems in quantum theory
15A66 Clifford algebras, spinors
81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory
83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
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