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An introduction to Clifford algebras and spinors /
This book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Oxford University Press,
2016.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn945735674 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 160329s2016 nyu ob 001 0 eng d | ||
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| 019 | |a 957615575 |a 959423882 |a 961206699 | ||
| 020 | |a 9780191826146 |q (electronic bk.) | ||
| 020 | |a 0191826146 |q (electronic bk.) | ||
| 020 | |a 9780191085789 |q (electronic bk.) | ||
| 020 | |a 0191085782 |q (electronic bk.) | ||
| 020 | |z 9780198782926 |q (print) | ||
| 020 | |z 0198782926 | ||
| 035 | |a (OCoLC)945735674 |z (OCoLC)957615575 |z (OCoLC)959423882 |z (OCoLC)961206699 | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Vaz Jr., Jayme, |e author. | |
| 245 | 1 | 3 | |a An introduction to Clifford algebras and spinors / |c Jayme Vaz, Jr. and Roldão da Rocha, Jr. |
| 246 | 3 | 0 | |a Clifford algebras and spinors |
| 264 | 1 | |a New York, NY : |b Oxford University Press, |c 2016. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Preface; Acknowledgements; Contents; 1 Preliminaries ; 1.1 Vectors and Covectors; 1.2 The Tensor Product; 1.3 Tensor Algebra; 1.4 Exercises; 2 Exterior Algebra and Grassmann Algebra; 2.1 Permutations and the Alternator; 2.2 p-Vectors and p-Covectors; 2.3 The Exterior Product; 2.4 The Exterior Algebra ˄(V); 2.5 The Exterior Algebra as the Quotient of the Tensor Algebra; 2.6 The Contraction, or Interior Product; 2.7 Orientation, and Quasi-Hodge Isomorphisms; 2.8 The Regressive Product; 2.9 The Grassmann Algebra; 2.10 The Hodge Isomorphism; 2.11 Additional Readings; 2.12 Exercises | |
| 505 | 8 | |a 3 Clifford, or Geometric, Algebra3.1 Definition of a Clifford Algebra; 3.2 Universal Clifford Algebra as a Quotient of the Tensor Algebra; 3.3 Some General Considerations; 3.4 From the Grassmann Algebra to the Clifford Algebra; 3.5 Grassmann Algebra versus Clifford Algebra; 3.6 Notation; 3.7 Additional Readings; 3.8 Exercises; 4 Classification and Representation of the Clifford Algebras; 4.1 Theorems on the Structure of Clifford Algebras; 4.2 The Classification of Clifford Algebras; 4.3 Idempotents and Representations; 4.4 Clifford Algebra Representations; 4.5 Additional Readings. | |
| 505 | 8 | |a 4.6 Exercises5 Clifford Algebras, and Associated Groups; 5.1 Orthogonal Transformations and the Cartan-Dieudonné Theorem; 5.2 The Clifford-Lipschitz Group; 5.3 The Pin Group and the Spin Group; 5.4 Conformal Transformations in Clifford Algebras; 5.5 Additional Readings; 5.6 Exercises; 6 Spinors; 6.1 The Babel of Spinors; 6.2 Algebraic Spinors; 6.3 Classical Spinors; 6.4 Spinor Operators; 6.5 A Comparison of the Different Definitions of Spinors; 6.6 The Inner Product in the Space of Algebraic Spinors; 6.7 The Triality Principle in the Clifford Algebraic Context; 6.8 Pure Spinors. | |
| 505 | 8 | |a 6.9 Dual Rotations, and the Penrose Flagpole6.10 Weyl Spinors in Cl3,0; 6.11 Weyl Spinors in the Clifford Algebra Cl0,3 C"H H; 6.12 Spinor Transformations; 6.13 Spacetime Vectors as Paravectors of cl3,0 from Weyl Spinors; 6.14 Paravectors of Cl4,1 cl3,0 in via the Periodicity Theorem; 6.15 Twistors as Geometric Multivectors; 6.16 Spinor Classi cation According to Bilinear Covariants; 6.17 Additional Readings; 6.18 Exercises; Appendix A The Standard Two-Component Spinor Formalism; A.1 Weyl Spinors; A.2 Contravariant Undotted Spinors; A.3 Covariant Undotted Spinors. | |
| 505 | 8 | |a A.4 Contravariant Dotted SpinorsA. 5 Covariant Dotted Spinors; A.6 Null Flags and Flagpoles; A.7 The Supersymmetry Algebra; Appendix B List of Symbols; References; Index. | |
| 520 | |a This book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications. | ||
| 504 | |a Includes bibliographical references (pages 231-237) and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Clifford algebras. | |
| 650 | 6 | |a Algèbres de Clifford. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Clifford algebras |2 fast | |
| 700 | 1 | |a Rocha Jr., Roldão da, |d 1976- |e author. | |
| 776 | 0 | 8 | |i Print version: |z 0198782926 |z 9780198782926 |w (OCoLC)933337412 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1247161 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4545819 | ||
| 938 | |a EBSCOhost |b EBSC |n 1247161 | ||
| 938 | |a Oxford University Press USA |b OUPR |n EDZ0001522142 | ||
| 938 | |a YBP Library Services |b YANK |n 13068108 | ||
| 938 | |a YBP Library Services |b YANK |n 12831587 | ||
| 994 | |a 92 |b IZTAP | ||