Lie Groups and Lie Algebras: Their Representations, Generalisations and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1998
|
| Schriftenreihe: | Mathematics and Its Applications
433 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations |
| Beschreibung: | 1 Online-Ressource (VII, 447 p) |
| ISBN: | 9789401152587 9789401062121 |
| DOI: | 10.1007/978-94-011-5258-7 |
Internformat
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| 245 | 1 | 0 | |a Lie Groups and Lie Algebras |b Their Representations, Generalisations and Applications |c edited by B. P. Komrakov, I. S. Krasil’shchik, G. L. Litvinov, A. B. Sossinsky |
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| 300 | |a 1 Online-Ressource (VII, 447 p) | ||
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| 490 | 0 | |a Mathematics and Its Applications |v 433 | |
| 500 | |a This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations | ||
| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Global Analysis and Analysis on Manifolds | |
| 650 | 4 | |a Partial Differential Equations | |
| 650 | 4 | |a Applications of Mathematics | |
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Datensatz im Suchindex
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| dewey-full | 512.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-5258-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401152587 9789401062121 |
| language | English |
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| spelling | Komrakov, B. P. Verfasser aut Lie Groups and Lie Algebras Their Representations, Generalisations and Applications edited by B. P. Komrakov, I. S. Krasil’shchik, G. L. Litvinov, A. B. Sossinsky Dordrecht Springer Netherlands 1998 1 Online-Ressource (VII, 447 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 433 This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations Mathematics Algebra Topological Groups Global analysis Differential equations, partial Non-associative Rings and Algebras Topological Groups, Lie Groups Global Analysis and Analysis on Manifolds Partial Differential Equations Applications of Mathematics Mathematik Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Lie-Gruppe (DE-588)4035695-4 s 1\p DE-604 Krasil’shchik, I. S. Sonstige oth Litvinov, G. L. Sonstige oth Sossinsky, A. B. Sonstige oth https://doi.org/10.1007/978-94-011-5258-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Komrakov, B. P. Lie Groups and Lie Algebras Their Representations, Generalisations and Applications Mathematics Algebra Topological Groups Global analysis Differential equations, partial Non-associative Rings and Algebras Topological Groups, Lie Groups Global Analysis and Analysis on Manifolds Partial Differential Equations Applications of Mathematics Mathematik Lie-Gruppe (DE-588)4035695-4 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4130355-6 |
| title | Lie Groups and Lie Algebras Their Representations, Generalisations and Applications |
| title_auth | Lie Groups and Lie Algebras Their Representations, Generalisations and Applications |
| title_exact_search | Lie Groups and Lie Algebras Their Representations, Generalisations and Applications |
| title_full | Lie Groups and Lie Algebras Their Representations, Generalisations and Applications edited by B. P. Komrakov, I. S. Krasil’shchik, G. L. Litvinov, A. B. Sossinsky |
| title_fullStr | Lie Groups and Lie Algebras Their Representations, Generalisations and Applications edited by B. P. Komrakov, I. S. Krasil’shchik, G. L. Litvinov, A. B. Sossinsky |
| title_full_unstemmed | Lie Groups and Lie Algebras Their Representations, Generalisations and Applications edited by B. P. Komrakov, I. S. Krasil’shchik, G. L. Litvinov, A. B. Sossinsky |
| title_short | Lie Groups and Lie Algebras |
| title_sort | lie groups and lie algebras their representations generalisations and applications |
| title_sub | Their Representations, Generalisations and Applications |
| topic | Mathematics Algebra Topological Groups Global analysis Differential equations, partial Non-associative Rings and Algebras Topological Groups, Lie Groups Global Analysis and Analysis on Manifolds Partial Differential Equations Applications of Mathematics Mathematik Lie-Gruppe (DE-588)4035695-4 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Mathematics Algebra Topological Groups Global analysis Differential equations, partial Non-associative Rings and Algebras Topological Groups, Lie Groups Global Analysis and Analysis on Manifolds Partial Differential Equations Applications of Mathematics Mathematik Lie-Gruppe Lie-Algebra |
| url | https://doi.org/10.1007/978-94-011-5258-7 |
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