This volume is the first in a projected series devoted to the mathematical and philosophical works of the late Claude Chevalley. It covers the main contributions by the author to the theory of spinors. Since its appearance in 1954, "The Algebraic Theory of Spinors" has been a much sought after reference. It presents the whole story of one subject in a concise and especially clear manner. The reprint of the book is supplemented by a series of lectures on Clifford Algebras given by the author in Japan at about the same time. Also included is a postface by J.-P. Bourguignon describing the many uses of spinors in differential geometry developed by mathematical physicists from the 1970s to the present day. An insightful review of "Spinors" by J. Dieudonne is also made available to the reader in this new edition.
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First Sentence:
The first basic type of algebras we want to consider is the free algebra. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nonisotropic subspace, main antiautomorphism, conjugate hyperplane, pure spinors, singular subspaces, nonsingular vector, main involution, spin representation, norm homomorphism, nonsingular element, totally singular subspace, associated bilinear form, minimal right ideal, mutually orthogonal vectors, full matrix algebra, conjugate space, decomposable elements, minimal left ideal, exterior algebra, maximal index, singular space, homogeneous component, homogeneous elements, commutator subgroup, underlying vector space Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elie Cartan, The Algebraic Theory of Spinors New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The first basic type of algebras we want to consider is the free algebra. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nonisotropic subspace, main antiautomorphism, conjugate hyperplane, pure spinors, singular subspaces, nonsingular vector, main involution, spin representation, norm homomorphism, nonsingular element, totally singular subspace, associated bilinear form, minimal right ideal, mutually orthogonal vectors, full matrix algebra, conjugate space, decomposable elements, minimal left ideal, exterior algebra, maximal index, singular space, homogeneous component, homogeneous elements, commutator subgroup, underlying vector space Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elie Cartan, The Algebraic Theory of Spinors New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 3
books:
- The Theory of Spinors (Dover Books on Mathematics) by Elie Cartan in Front Matter (1), Front Matter (2), and page 193
- Heat Kernels and Dirac Operators (Grundlehren Text Editions) by Nicole Berline in Back Matter
- The Theory of Rings (Mathematical Surveys and Monographs) by Nathan Jacobson on page 70
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