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Clifford algebras and spinors / Pertti Lounesto
| Clifford algebras and spinors / Pertti Lounesto |
| Autore | Lounesto, Pertti |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 1997 |
| Descrizione fisica | ix, 306 p. : ill. ; 23 cm |
| Disciplina | 512.57 |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 239 |
| Soggetto topico |
Clifford algebras
Spinor analysis |
| ISBN | 0521599164 |
| Classificazione |
AMS 15A66
QA199.L68 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000747189707536 |
Lounesto, Pertti
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| Cambridge ; New York : Cambridge University Press, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Fundamentals of the pure spinor formalism [[electronic resource] /] / Joost Hoogeveen
| Fundamentals of the pure spinor formalism [[electronic resource] /] / Joost Hoogeveen |
| Autore | Hoogeveen Joost |
| Pubbl/distr/stampa | Amsterdam, : Amsterdam University Press, 2010 |
| Descrizione fisica | 1 online resource (180 p.) |
| Disciplina | 531/.14 |
| Collana | UvA-proefschriften |
| Soggetto topico | Spinor analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 90-485-1312-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Preface; 1. String theory; 2. Pure spinor formalism; 3. Basic techniques; 4. BRST quantisation of the pure spinor superstring; 5. Decoupling of unphysical states; 6. Discussion and conclusion; Appendix A; Bibliography; Samenvatting; Acknowledgments |
| Record Nr. | UNINA-9910459341903321 |
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Hoogeveen Joost
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| Amsterdam, : Amsterdam University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fundamentals of the pure spinor formalism [[electronic resource] /] / Joost Hoogeveen
| Fundamentals of the pure spinor formalism [[electronic resource] /] / Joost Hoogeveen |
| Autore | Hoogeveen Joost |
| Pubbl/distr/stampa | Amsterdam, : Amsterdam University Press, 2010 |
| Descrizione fisica | 1 online resource (180 p.) |
| Disciplina | 531/.14 |
| Collana | UvA-proefschriften |
| Soggetto topico | Spinor analysis |
| ISBN | 90-485-1312-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Preface; 1. String theory; 2. Pure spinor formalism; 3. Basic techniques; 4. BRST quantisation of the pure spinor superstring; 5. Decoupling of unphysical states; 6. Discussion and conclusion; Appendix A; Bibliography; Samenvatting; Acknowledgments |
| Record Nr. | UNINA-9910784935403321 |
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Hoogeveen Joost
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| Amsterdam, : Amsterdam University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell
| Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell |
| Autore | O'Donnell Peter J. <1964-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (xii, 191 p. ) : ill |
| Disciplina | 530.15563 |
| Soggetto topico |
General relativity (Physics)
Spinor analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93572-7
9786611935726 981-279-531-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Spinor geometry. 1.1. Minkowski space. 1.2. The null cone and Riemann sphere. 1.3. Spin transformations and spin matrices. 1.4. Flagpoles and flag planes. 1.5. Spin-space. 1.6. Exercises -- 2. Spinor algebra. 2.1. Abstract index notation. 2.2. Complex conjugation of spinor components. 2.3. Vector bases and abstract indices. 2.4. Levi-Civita spinor. 2.5. Spinor dyad basis and its components. 2.6. Spinor symmetry operations. 2.7. The connection between world-tensors and spinors. 2.8. The decomposition of spinors. 2.9. The canonical decomposition of symmetric spinors. 2.10. Exercises -- 3. Spinor analysis. 3.1. Spinor form of the covariant derivative. 3.2. The curvature spinors. 3.3. Spinor equivalent of the Ricci identities. 3.4. Spinor equivalent of the Bianchi identities. 3.5. The Newman-Penrose spin coefficient formalism. 3.6. Newman-Penrose quantities under Lorentz transformations. 3.7. Miscellaneous transformations. 3.8. Geroch-Held-Penrose formalism. 3.9. Goldberg-Sachs theorem. 3.10. Exercises -- 4. Lanczos spinor. 4.1. Introduction. 4.2. Lanczos' Lagrangian. 4.3. Lanczos' gauge conditions. 4.4. The Lanczos spinor. 4.5. The spinor version of the Weyl-Lanczos equations. 4.6. The Lanczos coefficients. 4.7. The Weyl-Lanczos equations in spin coefficient form. 4.8. The Ricci-Lanczos equations in spin coefficient form. 4.9. The behaviour of Lanczos coefficients under Lorentz transformations. 4.10. Miscellaneous transformations. 4.11. The Weyl-Lanczos equations in GHP form. 4.12. Solutions of the Weyl-Lanczos equations. 4.13. A brief note on the Lanczos spinor/tensor. 4.14. Exercises. |
| Record Nr. | UNINA-9910454277203321 |
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O'Donnell Peter J. <1964->
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| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell
| Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell |
| Autore | O'Donnell Peter J. <1964-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (xii, 191 p. ) : ill |
| Disciplina | 530.15563 |
| Soggetto topico |
General relativity (Physics)
Spinor analysis |
| ISBN |
1-281-93572-7
9786611935726 981-279-531-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Spinor geometry. 1.1. Minkowski space. 1.2. The null cone and Riemann sphere. 1.3. Spin transformations and spin matrices. 1.4. Flagpoles and flag planes. 1.5. Spin-space. 1.6. Exercises -- 2. Spinor algebra. 2.1. Abstract index notation. 2.2. Complex conjugation of spinor components. 2.3. Vector bases and abstract indices. 2.4. Levi-Civita spinor. 2.5. Spinor dyad basis and its components. 2.6. Spinor symmetry operations. 2.7. The connection between world-tensors and spinors. 2.8. The decomposition of spinors. 2.9. The canonical decomposition of symmetric spinors. 2.10. Exercises -- 3. Spinor analysis. 3.1. Spinor form of the covariant derivative. 3.2. The curvature spinors. 3.3. Spinor equivalent of the Ricci identities. 3.4. Spinor equivalent of the Bianchi identities. 3.5. The Newman-Penrose spin coefficient formalism. 3.6. Newman-Penrose quantities under Lorentz transformations. 3.7. Miscellaneous transformations. 3.8. Geroch-Held-Penrose formalism. 3.9. Goldberg-Sachs theorem. 3.10. Exercises -- 4. Lanczos spinor. 4.1. Introduction. 4.2. Lanczos' Lagrangian. 4.3. Lanczos' gauge conditions. 4.4. The Lanczos spinor. 4.5. The spinor version of the Weyl-Lanczos equations. 4.6. The Lanczos coefficients. 4.7. The Weyl-Lanczos equations in spin coefficient form. 4.8. The Ricci-Lanczos equations in spin coefficient form. 4.9. The behaviour of Lanczos coefficients under Lorentz transformations. 4.10. Miscellaneous transformations. 4.11. The Weyl-Lanczos equations in GHP form. 4.12. Solutions of the Weyl-Lanczos equations. 4.13. A brief note on the Lanczos spinor/tensor. 4.14. Exercises. |
| Record Nr. | UNINA-9910782115503321 |
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O'Donnell Peter J. <1964->
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| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quaternions, spinors, and surfaces / / George Kamberov [and three others]
| Quaternions, spinors, and surfaces / / George Kamberov [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512/.5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quaternions
Spinor analysis Riemann surfaces |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7889-1
0-8218-1928-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem""
""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" ""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" |
| Record Nr. | UNINA-9910480941703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quaternions, spinors, and surfaces / / George Kamberov [and three others]
| Quaternions, spinors, and surfaces / / George Kamberov [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512/.5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quaternions
Spinor analysis Riemann surfaces |
| ISBN |
0-8218-7889-1
0-8218-1928-3 |
| Classificazione | 31.30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem""
""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" ""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" |
| Record Nr. | UNINA-9910788657903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quaternions, spinors, and surfaces / / George Kamberov [and three others]
| Quaternions, spinors, and surfaces / / George Kamberov [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512/.5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quaternions
Spinor analysis Riemann surfaces |
| ISBN |
0-8218-7889-1
0-8218-1928-3 |
| Classificazione | 31.30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem""
""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" ""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" |
| Record Nr. | UNINA-9910811526603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Spinor genera in characteristic 2 / / Yuanhua Wang, Fei Xu
| Spinor genera in characteristic 2 / / Yuanhua Wang, Fei Xu |
| Autore | Wang Yuanhua <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 515/.63 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Spinor analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Chapter 1. Local Theory""; ""1.1. Some lemmas""; ""1.2. W-type""; ""1.3. Generation of O(L)""; ""1.4. Computations of spinor norms, I""; ""1.5. Computations of spinor norms, II""; ""1.6. Group structure of Î?(X(L/K))""; ""1.7. Reduction formula for Î?(X(L/K)), I""; ""1.8. Reduction formula for Î?(X(L/K)), II""; ""1.9. Some computation via reduction formulae""; ""1.10. Some notation""; ""1.11. Closed forms for Î?(X(L/K))""; ""Chapter 2. Global Theory""; ""2.0. Introduction""; ""2.1. Number of spinor genera in a genus"" |
| Record Nr. | UNINA-9910480393203321 |
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Wang Yuanhua <1976->
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| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spinor genera in characteristic 2 / / Yuanhua Wang, Fei Xu
| Spinor genera in characteristic 2 / / Yuanhua Wang, Fei Xu |
| Autore | Wang Yuanhua <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 515/.63 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Spinor analysis |
| ISBN | 1-4704-0513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Chapter 1. Local Theory""; ""1.1. Some lemmas""; ""1.2. W-type""; ""1.3. Generation of O(L)""; ""1.4. Computations of spinor norms, I""; ""1.5. Computations of spinor norms, II""; ""1.6. Group structure of Î?(X(L/K))""; ""1.7. Reduction formula for Î?(X(L/K)), I""; ""1.8. Reduction formula for Î?(X(L/K)), II""; ""1.9. Some computation via reduction formulae""; ""1.10. Some notation""; ""1.11. Closed forms for Î?(X(L/K))""; ""Chapter 2. Global Theory""; ""2.0. Introduction""; ""2.1. Number of spinor genera in a genus"" |
| Record Nr. | UNINA-9910788852203321 |
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Wang Yuanhua <1976->
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| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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