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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  
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
Hoogeveen Joost  
Amsterdam, : Amsterdam University Press, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Hoogeveen Joost  
Amsterdam, : Amsterdam University Press, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910810009103321
Hoogeveen Joost  
Amsterdam, : Amsterdam University Press, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
O'Donnell Peter J. <1964->  
Singapore ; ; River Edge, NJ, : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
O'Donnell Peter J. <1964->  
Singapore ; ; River Edge, NJ, : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910809091703321
O'Donnell Peter J. <1964->  
Singapore ; ; River Edge, NJ, : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui