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Advances in applied Clifford algebras
| Advances in applied Clifford algebras |
| Pubbl/distr/stampa | México, D.F., México, : Facultad de Estudios Superiores, Cuautitlán, Universidad Nacional Autónoma de México |
| Disciplina | 530.15257 |
| Soggetto topico |
Clifford algebras
Algèbre de Clifford |
| Soggetto genere / forma |
Ressource Internet (Descripteur de forme)
Périodique électronique (Descripteur de forme) Periodicals. |
| ISSN | 1661-4909 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Applied Clifford algebras |
| Record Nr. | UNINA-9910139373603321 |
| México, D.F., México, : Facultad de Estudios Superiores, Cuautitlán, Universidad Nacional Autónoma de México | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in applied Clifford algebras
| Advances in applied Clifford algebras |
| Pubbl/distr/stampa | México, D.F., México, : Facultad de Estudios Superiores, Cuautitlán, Universidad Nacional Autónoma de México |
| Disciplina | 530.15257 |
| Soggetto topico |
Clifford algebras
Algèbre de Clifford |
| Soggetto genere / forma |
Ressource Internet (Descripteur de forme)
Périodique électronique (Descripteur de forme) Periodicals. |
| ISSN | 1661-4909 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Applied Clifford algebras |
| Record Nr. | UNISA-996203940103316 |
| México, D.F., México, : Facultad de Estudios Superiores, Cuautitlán, Universidad Nacional Autónoma de México | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Algebre di Clifford. Tesi di laurea / laureanda Ilaria Colazzo ; relatore Francesco Catino
| Algebre di Clifford. Tesi di laurea / laureanda Ilaria Colazzo ; relatore Francesco Catino |
| Autore | Colazzo, Ilaria |
| Pubbl/distr/stampa | Lecce : Università del Salento. Facoltà di Scienze MM. FF. NN. Corso di Laurea Specialistica in Matematica, a.a. 2011-12 |
| Descrizione fisica | 85 p. ; 30 cm |
| Altri autori (Persone) | Catino, Francesco |
| Soggetto topico | Clifford algebras |
| Classificazione |
AMS 11E88
AMS 15A66 AMS 15A63 AMS 16W50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991001922749707536 |
Colazzo, Ilaria
|
||
| Lecce : Università del Salento. Facoltà di Scienze MM. FF. NN. Corso di Laurea Specialistica in Matematica, a.a. 2011-12 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Clifford algebra [[electronic resource] ] : a computational tool for physicists / / John Snygg
| Clifford algebra [[electronic resource] ] : a computational tool for physicists / / John Snygg |
| Autore | Snygg John |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1997 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.1/5257 |
| Soggetto topico |
Clifford algebras
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-52812-5
9786610528127 0-19-802586-6 1-4294-1555-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Introduction; 1. A Taste of Clifford Algebra in Euclidean 3-Space; 2. A Sample of Clifford Algebra in Minkowski 4-Space; 3. Clifford Algebra for Flat n-Dimensional Spaces; 4. Curved Spaces Embedded in Higher Dimensional Flat Spaces; 5. The Use of Fock-Ivanenko 2-Vectors to obtain the Schwarzschild Metric; 6*. The Schwarzschild Metric via Fock-Ivanenko 2-Vectors; 7. Two Differential Operators; 8.* Dirac's Equation for the Electron; 9. The Kerr Metric by an Elementary Brute Force Method; 10.* Petrov's Canonical Forms for the Weyl Tensor and Another Approach to the Kerr Metric
11.* Matrix Representations and Classifications of Clifford AlgebrasAppendix:; Bibliography; Index |
| Record Nr. | UNINA-9910451892803321 |
|
Snygg John
|
||
| New York, : Oxford University Press, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Clifford algebra [[electronic resource] ] : a computational tool for physicists / / John Snygg
| Clifford algebra [[electronic resource] ] : a computational tool for physicists / / John Snygg |
| Autore | Snygg John |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1997 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.1/5257 |
| Soggetto topico |
Clifford algebras
Mathematical physics |
| ISBN |
0-19-773215-1
1-280-52812-5 9786610528127 0-19-802586-6 1-4294-1555-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Introduction; 1. A Taste of Clifford Algebra in Euclidean 3-Space; 2. A Sample of Clifford Algebra in Minkowski 4-Space; 3. Clifford Algebra for Flat n-Dimensional Spaces; 4. Curved Spaces Embedded in Higher Dimensional Flat Spaces; 5. The Use of Fock-Ivanenko 2-Vectors to obtain the Schwarzschild Metric; 6*. The Schwarzschild Metric via Fock-Ivanenko 2-Vectors; 7. Two Differential Operators; 8.* Dirac's Equation for the Electron; 9. The Kerr Metric by an Elementary Brute Force Method; 10.* Petrov's Canonical Forms for the Weyl Tensor and Another Approach to the Kerr Metric
11.* Matrix Representations and Classifications of Clifford AlgebrasAppendix:; Bibliography; Index |
| Record Nr. | UNINA-9910777601803321 |
|
Snygg John
|
||
| New York, : Oxford University Press, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Clifford algebra : a computational tool for physicists / / John Snygg
| Clifford algebra : a computational tool for physicists / / John Snygg |
| Autore | Snygg John |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York, : Oxford University Press, 1997 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.1/5257 |
| Collana | Oxford scholarship online |
| Soggetto topico |
Clifford algebras
Mathematical physics |
| ISBN |
0-19-773215-1
1-280-52812-5 9786610528127 0-19-802586-6 1-4294-1555-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Introduction; 1. A Taste of Clifford Algebra in Euclidean 3-Space; 2. A Sample of Clifford Algebra in Minkowski 4-Space; 3. Clifford Algebra for Flat n-Dimensional Spaces; 4. Curved Spaces Embedded in Higher Dimensional Flat Spaces; 5. The Use of Fock-Ivanenko 2-Vectors to obtain the Schwarzschild Metric; 6*. The Schwarzschild Metric via Fock-Ivanenko 2-Vectors; 7. Two Differential Operators; 8.* Dirac's Equation for the Electron; 9. The Kerr Metric by an Elementary Brute Force Method; 10.* Petrov's Canonical Forms for the Weyl Tensor and Another Approach to the Kerr Metric
11.* Matrix Representations and Classifications of Clifford AlgebrasAppendix:; Bibliography; Index |
| Record Nr. | UNINA-9910828268803321 |
|
Snygg John
|
||
| New York, : Oxford University Press, 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Clifford algebras : an introduction / / D.J.H. Garling [[electronic resource]]
| Clifford algebras : an introduction / / D.J.H. Garling [[electronic resource]] |
| Autore | Garling D. J. H. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (vii, 200 pages) : digital, PDF file(s) |
| Disciplina | 512.57 |
| Collana | London Mathematical Society student texts |
| Soggetto topico | Clifford algebras |
| ISBN |
1-107-22240-0
1-280-77308-1 1-139-07669-8 9786613683854 0-511-97299-7 1-139-08124-1 1-139-07097-5 1-139-07897-6 1-139-08351-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; London Mathematical Society Student Texts 78: Clifford Algebras: An Introduction; Title; Copyright; Contents; Introduction; PART ONE: THE ALGEBRAIC ENVIRONMENT; 1: Groups and vector spaces; 1.1 Groups; 1.2 Vector spaces; 1.3 Duality of vector spaces; 2: Algebras, representations and modules; 2.1 Algebras; 2.2 Group representations; 2.3 The quaternions; 2.4 Representations and modules; 2.5 Module homomorphisms; 2.6 Simple modules; 2.7 Semi-simple modules; 3: Multilinear algebra; 3.1 Multilinear mappings; 3.2 Tensor products; 3.3 The trace
3.4 Alternating mappings and the exterior algebra3.5 The symmetric tensor algebra; 3.6 Tensor products of algebras; 3.7 Tensor products of super-algebras; PART TWO: QUADRATIC FORMS AND CLIFFORD ALGEBRAS; 4: Quadratic forms; 4.1 Real quadratic forms; 4.2 Orthogonality; 4.3 Diagonalization; 4.4 Adjoint mappings; 4.5 Isotropy; 4.6 Isometries and the orthogonal group; 4.8 The Cartan-Dieudonné theorem; 4.9 The groups SO(3) and SO(4); 4.10 Complex quadratic forms; 4.11 Complex inner-product spaces; 5: Clifford algebras; 5.1 Clifford algebras; 5.2 Existence; 5.3 Three involutions 5.4 Centralizers, and the centre5.5 Simplicity; 5.6 The trace and quadratic form on A(E, q); 5.7 The group G(E; q) of invertible elements of A(E, q); 6: Classifying Clifford algebras; 6.1 Frobenius' theorem; 6.2 Clifford algebras A(E, q) with dimE = 2; 6.3 Clifford's theorem; 6.4 Classifying even Clifford algebras; 6.5 Cartan's periodicity law; 6.6 Classifying complex Clifford algebras; 7: Representing Clifford algebras; 7.1 Spinors; 7.2 The Clifford algebras Ak,k; 7.3 The algebras Bk,k+1 and Ak,k+1; 7.4 The algebras Ak+1,k and Ak+2,k; 7.5 Clifford algebras A(E, q) with dim E = 3 7.6 Clifford algebras A(E, q) with dim E = 47.7 Clifford algebras A(E, q) with dim E = 5; 7.8 The algebras A6, B7, A7 and A8; 8: Spin; 8.1 Clifford groups; 8.2 Pin and Spin groups; 8.3 Replacing q by ?q; 8.4 The spin group for odd dimensions; 8.5 Spin groups, for d = 2; 8.6 Spin groups, for d = 3; 8.7 Spin groups, for d = 4; 8.8 The group Spin5; 8.9 Examples of spin groups for d >= 6; 8.10 Table of results; PART THREE: SOME APPLICATIONS; 9: Some applications to physics; 9.1 Particles with spin 1/2; 9.2 The Dirac operator; 9.3 Maxwell's equations; 9.4 The Dirac equation 10: Clifford analyticity10.1 Clifford analyticity; 10.2 Cauchy's integral formula; 10.3 Poisson kernels and the Dirichlet problem; 10.4 The Hilbert transform; 10.5 Augmented Dirac operators; 10.6 Subharmonicity properties; 10.7 The Riesz transform; 10.8 The Dirac operator on a Riemannian manifold; 11: Representations of Spind and SO(d); 11.1 Compact Lie groups and their representations; 11.2 Representations of SU(2); 11.3 Representations of Spind and SO(d) for d<=4; 12: Some suggestions for further reading; The algebraic environment; Quadratic spaces; Clifford algebras Clifford algebras and harmonic analysis |
| Record Nr. | UNINA-9910461741803321 |
|
Garling D. J. H.
|
||
| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Clifford algebras : an introduction / / D.J.H. Garling [[electronic resource]]
| Clifford algebras : an introduction / / D.J.H. Garling [[electronic resource]] |
| Autore | Garling D. J. H. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (vii, 200 pages) : digital, PDF file(s) |
| Disciplina | 512.57 |
| Collana | London Mathematical Society student texts |
| Soggetto topico | Clifford algebras |
| ISBN |
1-107-22240-0
1-280-77308-1 1-139-07669-8 9786613683854 0-511-97299-7 1-139-08124-1 1-139-07097-5 1-139-07897-6 1-139-08351-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; London Mathematical Society Student Texts 78: Clifford Algebras: An Introduction; Title; Copyright; Contents; Introduction; PART ONE: THE ALGEBRAIC ENVIRONMENT; 1: Groups and vector spaces; 1.1 Groups; 1.2 Vector spaces; 1.3 Duality of vector spaces; 2: Algebras, representations and modules; 2.1 Algebras; 2.2 Group representations; 2.3 The quaternions; 2.4 Representations and modules; 2.5 Module homomorphisms; 2.6 Simple modules; 2.7 Semi-simple modules; 3: Multilinear algebra; 3.1 Multilinear mappings; 3.2 Tensor products; 3.3 The trace
3.4 Alternating mappings and the exterior algebra3.5 The symmetric tensor algebra; 3.6 Tensor products of algebras; 3.7 Tensor products of super-algebras; PART TWO: QUADRATIC FORMS AND CLIFFORD ALGEBRAS; 4: Quadratic forms; 4.1 Real quadratic forms; 4.2 Orthogonality; 4.3 Diagonalization; 4.4 Adjoint mappings; 4.5 Isotropy; 4.6 Isometries and the orthogonal group; 4.8 The Cartan-Dieudonné theorem; 4.9 The groups SO(3) and SO(4); 4.10 Complex quadratic forms; 4.11 Complex inner-product spaces; 5: Clifford algebras; 5.1 Clifford algebras; 5.2 Existence; 5.3 Three involutions 5.4 Centralizers, and the centre5.5 Simplicity; 5.6 The trace and quadratic form on A(E, q); 5.7 The group G(E; q) of invertible elements of A(E, q); 6: Classifying Clifford algebras; 6.1 Frobenius' theorem; 6.2 Clifford algebras A(E, q) with dimE = 2; 6.3 Clifford's theorem; 6.4 Classifying even Clifford algebras; 6.5 Cartan's periodicity law; 6.6 Classifying complex Clifford algebras; 7: Representing Clifford algebras; 7.1 Spinors; 7.2 The Clifford algebras Ak,k; 7.3 The algebras Bk,k+1 and Ak,k+1; 7.4 The algebras Ak+1,k and Ak+2,k; 7.5 Clifford algebras A(E, q) with dim E = 3 7.6 Clifford algebras A(E, q) with dim E = 47.7 Clifford algebras A(E, q) with dim E = 5; 7.8 The algebras A6, B7, A7 and A8; 8: Spin; 8.1 Clifford groups; 8.2 Pin and Spin groups; 8.3 Replacing q by ?q; 8.4 The spin group for odd dimensions; 8.5 Spin groups, for d = 2; 8.6 Spin groups, for d = 3; 8.7 Spin groups, for d = 4; 8.8 The group Spin5; 8.9 Examples of spin groups for d >= 6; 8.10 Table of results; PART THREE: SOME APPLICATIONS; 9: Some applications to physics; 9.1 Particles with spin 1/2; 9.2 The Dirac operator; 9.3 Maxwell's equations; 9.4 The Dirac equation 10: Clifford analyticity10.1 Clifford analyticity; 10.2 Cauchy's integral formula; 10.3 Poisson kernels and the Dirichlet problem; 10.4 The Hilbert transform; 10.5 Augmented Dirac operators; 10.6 Subharmonicity properties; 10.7 The Riesz transform; 10.8 The Dirac operator on a Riemannian manifold; 11: Representations of Spind and SO(d); 11.1 Compact Lie groups and their representations; 11.2 Representations of SU(2); 11.3 Representations of Spind and SO(d) for d<=4; 12: Some suggestions for further reading; The algebraic environment; Quadratic spaces; Clifford algebras Clifford algebras and harmonic analysis |
| Record Nr. | UNINA-9910790005003321 |
|
Garling D. J. H.
|
||
| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Clifford algebras : an introduction / / D.J.H. Garling
| Clifford algebras : an introduction / / D.J.H. Garling |
| Autore | Garling D. J. H |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge ; ; New York, : Cambridge University Press, 2011 |
| Descrizione fisica | 1 online resource (vii, 200 pages) : digital, PDF file(s) |
| Disciplina | 512.57 |
| Collana | London Mathematical Society student texts |
| Soggetto topico |
Clifford algebras
Algebras, Linear |
| ISBN |
1-107-22240-0
1-280-77308-1 1-139-07669-8 9786613683854 0-511-97299-7 1-139-08124-1 1-139-07097-5 1-139-07897-6 1-139-08351-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; London Mathematical Society Student Texts 78: Clifford Algebras: An Introduction; Title; Copyright; Contents; Introduction; PART ONE: THE ALGEBRAIC ENVIRONMENT; 1: Groups and vector spaces; 1.1 Groups; 1.2 Vector spaces; 1.3 Duality of vector spaces; 2: Algebras, representations and modules; 2.1 Algebras; 2.2 Group representations; 2.3 The quaternions; 2.4 Representations and modules; 2.5 Module homomorphisms; 2.6 Simple modules; 2.7 Semi-simple modules; 3: Multilinear algebra; 3.1 Multilinear mappings; 3.2 Tensor products; 3.3 The trace
3.4 Alternating mappings and the exterior algebra3.5 The symmetric tensor algebra; 3.6 Tensor products of algebras; 3.7 Tensor products of super-algebras; PART TWO: QUADRATIC FORMS AND CLIFFORD ALGEBRAS; 4: Quadratic forms; 4.1 Real quadratic forms; 4.2 Orthogonality; 4.3 Diagonalization; 4.4 Adjoint mappings; 4.5 Isotropy; 4.6 Isometries and the orthogonal group; 4.8 The Cartan-Dieudonné theorem; 4.9 The groups SO(3) and SO(4); 4.10 Complex quadratic forms; 4.11 Complex inner-product spaces; 5: Clifford algebras; 5.1 Clifford algebras; 5.2 Existence; 5.3 Three involutions 5.4 Centralizers, and the centre5.5 Simplicity; 5.6 The trace and quadratic form on A(E, q); 5.7 The group G(E; q) of invertible elements of A(E, q); 6: Classifying Clifford algebras; 6.1 Frobenius' theorem; 6.2 Clifford algebras A(E, q) with dimE = 2; 6.3 Clifford's theorem; 6.4 Classifying even Clifford algebras; 6.5 Cartan's periodicity law; 6.6 Classifying complex Clifford algebras; 7: Representing Clifford algebras; 7.1 Spinors; 7.2 The Clifford algebras Ak,k; 7.3 The algebras Bk,k+1 and Ak,k+1; 7.4 The algebras Ak+1,k and Ak+2,k; 7.5 Clifford algebras A(E, q) with dim E = 3 7.6 Clifford algebras A(E, q) with dim E = 47.7 Clifford algebras A(E, q) with dim E = 5; 7.8 The algebras A6, B7, A7 and A8; 8: Spin; 8.1 Clifford groups; 8.2 Pin and Spin groups; 8.3 Replacing q by ?q; 8.4 The spin group for odd dimensions; 8.5 Spin groups, for d = 2; 8.6 Spin groups, for d = 3; 8.7 Spin groups, for d = 4; 8.8 The group Spin5; 8.9 Examples of spin groups for d >= 6; 8.10 Table of results; PART THREE: SOME APPLICATIONS; 9: Some applications to physics; 9.1 Particles with spin 1/2; 9.2 The Dirac operator; 9.3 Maxwell's equations; 9.4 The Dirac equation 10: Clifford analyticity10.1 Clifford analyticity; 10.2 Cauchy's integral formula; 10.3 Poisson kernels and the Dirichlet problem; 10.4 The Hilbert transform; 10.5 Augmented Dirac operators; 10.6 Subharmonicity properties; 10.7 The Riesz transform; 10.8 The Dirac operator on a Riemannian manifold; 11: Representations of Spind and SO(d); 11.1 Compact Lie groups and their representations; 11.2 Representations of SU(2); 11.3 Representations of Spind and SO(d) for d<=4; 12: Some suggestions for further reading; The algebraic environment; Quadratic spaces; Clifford algebras Clifford algebras and harmonic analysis |
| Record Nr. | UNINA-9910815556603321 |
|
Garling D. J. H
|
||
| Cambridge ; ; New York, : Cambridge University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Clifford algebras : applications to mathematics, physics, and engineering / Rafal Ablamowicz, editor
| Clifford algebras : applications to mathematics, physics, and engineering / Rafal Ablamowicz, editor |
| Pubbl/distr/stampa | Boston : Birkhäuser, c2004 |
| Descrizione fisica | xxiv, 626 p. : ill. ; 25 cm |
| Disciplina | 510.53 |
| Altri autori (Persone) |
Lounesto, Pertti
Ablamowicz, Rafalauthor |
| Altri autori (Convegni) | Conference on Clifford Algebras <6. ; 2002 ; Cookeville, Tenn.> |
| Collana | Progress in mathematical physics ; 34 |
| Soggetto topico | Clifford algebras |
| ISBN | 0817635254 |
| Classificazione |
AMS 81-06
AMS 81R LC QA199.C554 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000893679707536 |
| Boston : Birkhäuser, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
-
Clifford algebras
(35)
- Mathematical physics (5)
- Forms (Mathematics) (3)
- Forms, Quadratic (3)
- Invariants (3)