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Causal symmetric spaces [e-book] : geometry and harmonic analysis / Joachim Hilgert, Gestur Ólafsson
| Causal symmetric spaces [e-book] : geometry and harmonic analysis / Joachim Hilgert, Gestur Ólafsson |
| Autore | Hilgert, Joachim |
| Pubbl/distr/stampa | San Diego : Academic Press, c1997 |
| Descrizione fisica | xiv, 286 p. ; 24 cm |
| Disciplina | 516.362 |
| Altri autori (Persone) | Ólafsson, Gesturauthor |
| Collana | Perspectives in mathematics ; 18 |
| Soggetto topico |
Symmetric spaces
Harmonic analysis |
| ISBN |
9780125254304
012525430X |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003272449707536 |
Hilgert, Joachim
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| San Diego : Academic Press, c1997 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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Differential geometry and symmetric spaces / Sigurdur Helgason
| Differential geometry and symmetric spaces / Sigurdur Helgason |
| Autore | Helgason, Sigurdur |
| Pubbl/distr/stampa | New York : Academic Press, 1962 |
| Descrizione fisica | 486 p. ; 24 cm. |
| Disciplina |
516.36
516.37 |
| Collana | Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 12 |
| Soggetto topico |
Differential geometry
Symmetric spaces |
| ISBN | 0123384508 |
| Classificazione | AMS 53C35 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000821979707536 |
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Helgason, Sigurdur
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| New York : Academic Press, 1962 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Differential geometry, Lie groups, and symmetric spaces over general base fields and rings / / Wolfgang Bertram
| Differential geometry, Lie groups, and symmetric spaces over general base fields and rings / / Wolfgang Bertram |
| Autore | Bertram Wolfgang <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite dimensional Lie algebras
Infinite-dimensional manifolds Symmetric spaces Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0506-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""I. Basic notions""; ""1. Differential calculus""; ""2. Manifolds""; ""3. Tangent bundle and general fiber bundles""; ""4. The Lie bracket of vector fields""; ""5. Lie groups and symmetric spaces: basic facts""; ""II. Interpretation of tangent objects via scalar extensions""; ""6. Scalar extensions. I: Tangent functor and dual numbers""; ""7. Scalar extensions. II: Higher order tangent functors""; ""8. Scalar extensions. Ill: Jet functor and truncated polynomial rings""; ""III. Second order differential geometry""
""9. The structure of the tangent bundle of a vector bundle""""10. Linear connections. I: Linear structures on bilinear bundles""; ""11. Linear connections. II: Sprays""; ""12. Linear connections. Ill: Covariant derivative""; ""13. Natural operations. I: Exterior derivative of a one-form""; ""14. Natural operations. II: The Lie bracket revisited""; ""IV. Third and higher order differential geometry""; ""15. The structure of T[sup(k)]F: Multilinear bundles""; ""16. The structure of T[sup(k)]F: Multilinear connections""; ""17. Construction of multilinear connections""; ""18. Curvature"" ""19. Linear structures on jet bundles""""20. Shifts and symmetrization""; ""21. Remarks on differential operators and symbols""; ""22. The exterior derivative""; ""V. Lie Theory""; ""23. The three canonical connections of a Lie group""; ""24. The structure of higher order tangent groups""; ""25. Exponential map and Campbell-Hausdorff formula""; ""26. The canonical connection of a symmetric space""; ""27. The higher order tangent structure of symmetric spaces""; ""VI.Diffeomorphism Groups and the exponential jet""; ""28. Group structure on the space of sections of T[sup(k)]M"" ""29. The exponential jet for vector fields""""30. The exponential jet of a symmetric space""; ""31. Remarks on the exponential jet of a general connection""; ""32. From germs to jets and from jets to germs""; ""Appendix L. Limitations""; ""Appendix G. Generalizations""; ""Appendix: Multilinear Geometry""; ""BA. Bilinear algebra""; ""MA. Multilinear algebra""; ""SA. Symmetric and shift invariant multilinear algebra""; ""PG. Polynomial groups""; ""References"" |
| Record Nr. | UNINA-9910480857603321 |
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Bertram Wolfgang <1965->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential geometry, Lie groups, and symmetric spaces over general base fields and rings / / Wolfgang Bertram
| Differential geometry, Lie groups, and symmetric spaces over general base fields and rings / / Wolfgang Bertram |
| Autore | Bertram Wolfgang <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite dimensional Lie algebras
Infinite-dimensional manifolds Symmetric spaces Geometry, Differential |
| ISBN | 1-4704-0506-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""I. Basic notions""; ""1. Differential calculus""; ""2. Manifolds""; ""3. Tangent bundle and general fiber bundles""; ""4. The Lie bracket of vector fields""; ""5. Lie groups and symmetric spaces: basic facts""; ""II. Interpretation of tangent objects via scalar extensions""; ""6. Scalar extensions. I: Tangent functor and dual numbers""; ""7. Scalar extensions. II: Higher order tangent functors""; ""8. Scalar extensions. Ill: Jet functor and truncated polynomial rings""; ""III. Second order differential geometry""
""9. The structure of the tangent bundle of a vector bundle""""10. Linear connections. I: Linear structures on bilinear bundles""; ""11. Linear connections. II: Sprays""; ""12. Linear connections. Ill: Covariant derivative""; ""13. Natural operations. I: Exterior derivative of a one-form""; ""14. Natural operations. II: The Lie bracket revisited""; ""IV. Third and higher order differential geometry""; ""15. The structure of T[sup(k)]F: Multilinear bundles""; ""16. The structure of T[sup(k)]F: Multilinear connections""; ""17. Construction of multilinear connections""; ""18. Curvature"" ""19. Linear structures on jet bundles""""20. Shifts and symmetrization""; ""21. Remarks on differential operators and symbols""; ""22. The exterior derivative""; ""V. Lie Theory""; ""23. The three canonical connections of a Lie group""; ""24. The structure of higher order tangent groups""; ""25. Exponential map and Campbell-Hausdorff formula""; ""26. The canonical connection of a symmetric space""; ""27. The higher order tangent structure of symmetric spaces""; ""VI.Diffeomorphism Groups and the exponential jet""; ""28. Group structure on the space of sections of T[sup(k)]M"" ""29. The exponential jet for vector fields""""30. The exponential jet of a symmetric space""; ""31. Remarks on the exponential jet of a general connection""; ""32. From germs to jets and from jets to germs""; ""Appendix L. Limitations""; ""Appendix G. Generalizations""; ""Appendix: Multilinear Geometry""; ""BA. Bilinear algebra""; ""MA. Multilinear algebra""; ""SA. Symmetric and shift invariant multilinear algebra""; ""PG. Polynomial groups""; ""References"" |
| Record Nr. | UNINA-9910788851903321 |
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Bertram Wolfgang <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry, Lie groups, and symmetric spaces over general base fields and rings / / Wolfgang Bertram
| Differential geometry, Lie groups, and symmetric spaces over general base fields and rings / / Wolfgang Bertram |
| Autore | Bertram Wolfgang <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Infinite dimensional Lie algebras
Infinite-dimensional manifolds Symmetric spaces Geometry, Differential |
| ISBN | 1-4704-0506-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""I. Basic notions""; ""1. Differential calculus""; ""2. Manifolds""; ""3. Tangent bundle and general fiber bundles""; ""4. The Lie bracket of vector fields""; ""5. Lie groups and symmetric spaces: basic facts""; ""II. Interpretation of tangent objects via scalar extensions""; ""6. Scalar extensions. I: Tangent functor and dual numbers""; ""7. Scalar extensions. II: Higher order tangent functors""; ""8. Scalar extensions. Ill: Jet functor and truncated polynomial rings""; ""III. Second order differential geometry""
""9. The structure of the tangent bundle of a vector bundle""""10. Linear connections. I: Linear structures on bilinear bundles""; ""11. Linear connections. II: Sprays""; ""12. Linear connections. Ill: Covariant derivative""; ""13. Natural operations. I: Exterior derivative of a one-form""; ""14. Natural operations. II: The Lie bracket revisited""; ""IV. Third and higher order differential geometry""; ""15. The structure of T[sup(k)]F: Multilinear bundles""; ""16. The structure of T[sup(k)]F: Multilinear connections""; ""17. Construction of multilinear connections""; ""18. Curvature"" ""19. Linear structures on jet bundles""""20. Shifts and symmetrization""; ""21. Remarks on differential operators and symbols""; ""22. The exterior derivative""; ""V. Lie Theory""; ""23. The three canonical connections of a Lie group""; ""24. The structure of higher order tangent groups""; ""25. Exponential map and Campbell-Hausdorff formula""; ""26. The canonical connection of a symmetric space""; ""27. The higher order tangent structure of symmetric spaces""; ""VI.Diffeomorphism Groups and the exponential jet""; ""28. Group structure on the space of sections of T[sup(k)]M"" ""29. The exponential jet for vector fields""""30. The exponential jet of a symmetric space""; ""31. Remarks on the exponential jet of a general connection""; ""32. From germs to jets and from jets to germs""; ""Appendix L. Limitations""; ""Appendix G. Generalizations""; ""Appendix: Multilinear Geometry""; ""BA. Bilinear algebra""; ""MA. Multilinear algebra""; ""SA. Symmetric and shift invariant multilinear algebra""; ""PG. Polynomial groups""; ""References"" |
| Record Nr. | UNINA-9910819101003321 |
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Bertram Wolfgang <1965->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite order automorphisms and real forms of Kac-Moody algebras in the smooth and algebraic category / / Ernst Heintze, Christian Gross
| Finite order automorphisms and real forms of Kac-Moody algebras in the smooth and algebraic category / / Ernst Heintze, Christian Gross |
| Autore | Heintze Ernst |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (66 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Automorphisms Symmetric spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9112-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Isomorphisms between smooth loop algebras""; ""Chapter 3. Isomorphisms of smooth affine Kac-Moody algebras""; ""Chapter 4. Automorphisms of the first kind of finite order""; ""Chapter 5. Automorphisms of the second kind of finite order""; ""Chapter 6. Involutions""; ""6.1. Involutions of the first kind""; ""6.2. Involutions of the second kind""; ""Chapter 7. Real forms""; ""Chapter 8. The algebraic case""; ""8.1. Preliminaries""; ""8.2. Isomorphisms between loop algebras""
""8.3. Isomorphisms between affine Kac-Moody algebras""""8.4. Automorphisms of finite order""; ""8.5. Injectivity of Autqi Lalg(g,)/Aut1 Lalg(g,)Jiq(g,)""; ""8.6. Real forms and Cartan decompositions""; ""Appendix A. 0 ((Autg)) and representatives of its conjugacy classes""; ""Appendix B. Conjugate linear automorphisms of g""; ""Appendix C. Curves of automorphisms of finite order""; ""Bibliography"" |
| Record Nr. | UNINA-9910480297403321 |
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Heintze Ernst
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite order automorphisms and real forms of Kac-Moody algebras in the smooth and algebraic category / / Ernst Heintze, Christian Gross
| Finite order automorphisms and real forms of Kac-Moody algebras in the smooth and algebraic category / / Ernst Heintze, Christian Gross |
| Autore | Heintze Ernst |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (66 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Automorphisms Symmetric spaces |
| ISBN | 0-8218-9112-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Isomorphisms between smooth loop algebras""; ""Chapter 3. Isomorphisms of smooth affine Kac-Moody algebras""; ""Chapter 4. Automorphisms of the first kind of finite order""; ""Chapter 5. Automorphisms of the second kind of finite order""; ""Chapter 6. Involutions""; ""6.1. Involutions of the first kind""; ""6.2. Involutions of the second kind""; ""Chapter 7. Real forms""; ""Chapter 8. The algebraic case""; ""8.1. Preliminaries""; ""8.2. Isomorphisms between loop algebras""
""8.3. Isomorphisms between affine Kac-Moody algebras""""8.4. Automorphisms of finite order""; ""8.5. Injectivity of Autqi Lalg(g,)/Aut1 Lalg(g,)Jiq(g,)""; ""8.6. Real forms and Cartan decompositions""; ""Appendix A. 0 ((Autg)) and representatives of its conjugacy classes""; ""Appendix B. Conjugate linear automorphisms of g""; ""Appendix C. Curves of automorphisms of finite order""; ""Bibliography"" |
| Record Nr. | UNINA-9910788606403321 |
|
Heintze Ernst
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite order automorphisms and real forms of Kac-Moody algebras in the smooth and algebraic category / / Ernst Heintze, Christian Gross
| Finite order automorphisms and real forms of Kac-Moody algebras in the smooth and algebraic category / / Ernst Heintze, Christian Gross |
| Autore | Heintze Ernst |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (66 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Automorphisms Symmetric spaces |
| ISBN | 0-8218-9112-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Isomorphisms between smooth loop algebras""; ""Chapter 3. Isomorphisms of smooth affine Kac-Moody algebras""; ""Chapter 4. Automorphisms of the first kind of finite order""; ""Chapter 5. Automorphisms of the second kind of finite order""; ""Chapter 6. Involutions""; ""6.1. Involutions of the first kind""; ""6.2. Involutions of the second kind""; ""Chapter 7. Real forms""; ""Chapter 8. The algebraic case""; ""8.1. Preliminaries""; ""8.2. Isomorphisms between loop algebras""
""8.3. Isomorphisms between affine Kac-Moody algebras""""8.4. Automorphisms of finite order""; ""8.5. Injectivity of Autqi Lalg(g,)/Aut1 Lalg(g,)Jiq(g,)""; ""8.6. Real forms and Cartan decompositions""; ""Appendix A. 0 ((Autg)) and representatives of its conjugacy classes""; ""Appendix B. Conjugate linear automorphisms of g""; ""Appendix C. Curves of automorphisms of finite order""; ""Bibliography"" |
| Record Nr. | UNINA-9910812544503321 |
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Heintze Ernst
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| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Generalized coherent states and their applications / A. Perelomov
| Generalized coherent states and their applications / A. Perelomov |
| Autore | Perelomov, A. M. |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, c1986 |
| Descrizione fisica | xi, 320 p. ; 25 cm. |
| Disciplina | 530.15255 |
| Collana | Texts and monographs in physics |
| Soggetto topico |
Coherent states
Lie groups Symmetric spaces Mathematical physics |
| ISBN | 0387159126 |
| Classificazione |
LC QC20.7.L54
510.22 53.1.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Coherent states and their applications |
| Record Nr. | UNISALENTO-991004083339707536 |
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Perelomov, A. M.
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| Berlin ; New York : Springer-Verlag, c1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Generalized symmetric spaces / / Oldřich Kowalski
| Generalized symmetric spaces / / Oldřich Kowalski |
| Autore | Kowalski Oldřich <1936-> |
| Edizione | [1st ed. 1980.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1980] |
| Descrizione fisica | 1 online resource (XIV, 194 p.) |
| Disciplina | 516.362 |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Symmetric spaces |
| ISBN | 3-540-39329-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Generalized symmetric riemannian spaces -- Reductive spaces -- Differentiable s-manifolds -- Locally regular s-manifolds -- Operations with s-manifolds -- Distinguished s-structures on generalized symmetric spaces -- The classification of generalized symmetric Riemannian spaces in low dimensions -- The classification of generalized affine symmetric spaces in low dimensions -- Existence of generalized symmetric spaces of solvable type -- Irreducible generalized affine symmetric spaces -- Generalized pointwise symmetric spaces -- Non-parallel s-structures on symmetric spaces -- Some advanced results. |
| Record Nr. | UNISA-996466580303316 |
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Kowalski Oldřich <1936->
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| Berlin : , : Springer-Verlag, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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