The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2003
|
| Schriftenreihe: | Progress in Mathematics
213 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The volume is dedicated to AA. Kirillov and emerged from an international conference which was held in Luminy, Marseille, in December 2000, on the occasion of Alexandre Alexandrovitch's 26 44th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the development of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary representation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable systems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas |
| Beschreibung: | 1 Online-Ressource (XIII, 474 p) |
| ISBN: | 9781461200291 9781461265801 |
| DOI: | 10.1007/978-1-4612-0029-1 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV042419412 |
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| indexdate | 2024-07-10T01:21:04Z |
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| isbn | 9781461200291 9781461265801 |
| language | English |
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| series | Progress in Mathematics |
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| spelling | Duval, Christian edt The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov edited by Christian Duval, Valentin Ovsienko, Laurent Guieu Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (XIII, 474 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 213 The volume is dedicated to AA. Kirillov and emerged from an international conference which was held in Luminy, Marseille, in December 2000, on the occasion of Alexandre Alexandrovitch's 26 44th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the development of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary representation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable systems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas Kirillov, Aleksandr A. 1936- (DE-588)124974953 gnd rswk-swf Mathematics Group theory Global differential geometry Cell aggregation / Mathematics Group Theory and Generalizations Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Theoretical, Mathematical and Computational Physics Mathematik Orbital (DE-588)4127528-7 gnd rswk-swf Bibliografie (DE-588)4006432-3 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Kirillov, Aleksandr A. 1936- (DE-588)124974953 p Bibliografie (DE-588)4006432-3 s 1\p DE-604 Orbital (DE-588)4127528-7 s Methode (DE-588)4038971-6 s 2\p DE-604 Ovsienko, Valentin edt Guieu, Laurent edt Kirillov, Aleksandr A. 1936- (DE-588)124974953 hnr Progress in Mathematics 213 (DE-604)BV000004120 213 https://doi.org/10.1007/978-1-4612-0029-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov Progress in Mathematics Kirillov, Aleksandr A. 1936- (DE-588)124974953 gnd Mathematics Group theory Global differential geometry Cell aggregation / Mathematics Group Theory and Generalizations Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Theoretical, Mathematical and Computational Physics Mathematik Orbital (DE-588)4127528-7 gnd Bibliografie (DE-588)4006432-3 gnd Methode (DE-588)4038971-6 gnd |
| subject_GND | (DE-588)124974953 (DE-588)4127528-7 (DE-588)4006432-3 (DE-588)4038971-6 (DE-588)1071861417 |
| title | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov |
| title_auth | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov |
| title_exact_search | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov |
| title_full | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov edited by Christian Duval, Valentin Ovsienko, Laurent Guieu |
| title_fullStr | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov edited by Christian Duval, Valentin Ovsienko, Laurent Guieu |
| title_full_unstemmed | The Orbit Method in Geometry and Physics In Honor of A.A. Kirillov edited by Christian Duval, Valentin Ovsienko, Laurent Guieu |
| title_short | The Orbit Method in Geometry and Physics |
| title_sort | the orbit method in geometry and physics in honor of a a kirillov |
| title_sub | In Honor of A.A. Kirillov |
| topic | Kirillov, Aleksandr A. 1936- (DE-588)124974953 gnd Mathematics Group theory Global differential geometry Cell aggregation / Mathematics Group Theory and Generalizations Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Theoretical, Mathematical and Computational Physics Mathematik Orbital (DE-588)4127528-7 gnd Bibliografie (DE-588)4006432-3 gnd Methode (DE-588)4038971-6 gnd |
| topic_facet | Kirillov, Aleksandr A. 1936- Mathematics Group theory Global differential geometry Cell aggregation / Mathematics Group Theory and Generalizations Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Theoretical, Mathematical and Computational Physics Mathematik Orbital Bibliografie Methode Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4612-0029-1 |
| volume_link | (DE-604)BV000004120 |
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