Advances in Geometry:
Gespeichert in:
Weitere Verfasser: | , , , , |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1999
|
Schriftenreihe: | Progress in Mathematics
172 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This book is an outgrowth of the activities of the Center for Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to 1998. The Center was created in the Mathematics Department at Penn State in the fall of 1996 for the purpose of promoting and supporting the activities of researchers and students in and around geometry and physics at the university. The CGMP brings many visitors to Penn State and has ties with other research groups; it organizes weekly seminars as well as annual workshops The book contains 17 contributed articles on current research topics in a variety of fields: symplectic geometry, quantization, quantum groups, algebraic geometry, algebraic groups and invariant theory, and characteristic classes. Most of the 20 authors have talked at Penn State about their research. Their articles present new results or discuss interesting perspectives on recent work. All the articles have been refereed in the regular fashion of excellent scientific journals. Symplectic geometry, quantization and quantum groups is one main theme of the book. Several authors study deformation quantization. As tashkevich generalizes Karabegov's deformation quantization of Kahler manifolds to symplectic manifolds admitting two transverse polarizations, and studies the moment map in the case of semisimple coadjoint orbits. Bieliavsky constructs an explicit star-product on holonomy reducible symmetric coadjoint orbits of a simple Lie group, and he shows how to construct a star-representation which has interesting holomorphic properties |
Beschreibung: | 1 Online-Ressource (XI, 403 p) |
ISBN: | 9781461217701 9781461272748 |
DOI: | 10.1007/978-1-4612-1770-1 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author2 | Brylinski, Jean-Luc Brylinski, Ranee Nistor, Victor Tsygan, Boris Xu, Ping |
author2_role | edt edt edt edt edt |
author2_variant | j l b jlb r b rb v n vn b t bt p x px |
author_facet | Brylinski, Jean-Luc Brylinski, Ranee Nistor, Victor Tsygan, Boris Xu, Ping |
building | Verbundindex |
bvnumber | BV042419909 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)1165440849 (DE-599)BVBBV042419909 |
dewey-full | 516 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516 |
dewey-search | 516 |
dewey-sort | 3516 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-1770-1 |
format | Electronic eBook |
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spelling | Advances in Geometry edited by Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu Boston, MA Birkhäuser Boston 1999 1 Online-Ressource (XI, 403 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 172 This book is an outgrowth of the activities of the Center for Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to 1998. The Center was created in the Mathematics Department at Penn State in the fall of 1996 for the purpose of promoting and supporting the activities of researchers and students in and around geometry and physics at the university. The CGMP brings many visitors to Penn State and has ties with other research groups; it organizes weekly seminars as well as annual workshops The book contains 17 contributed articles on current research topics in a variety of fields: symplectic geometry, quantization, quantum groups, algebraic geometry, algebraic groups and invariant theory, and characteristic classes. Most of the 20 authors have talked at Penn State about their research. Their articles present new results or discuss interesting perspectives on recent work. All the articles have been refereed in the regular fashion of excellent scientific journals. Symplectic geometry, quantization and quantum groups is one main theme of the book. Several authors study deformation quantization. As tashkevich generalizes Karabegov's deformation quantization of Kahler manifolds to symplectic manifolds admitting two transverse polarizations, and studies the moment map in the case of semisimple coadjoint orbits. Bieliavsky constructs an explicit star-product on holonomy reducible symmetric coadjoint orbits of a simple Lie group, and he shows how to construct a star-representation which has interesting holomorphic properties Mathematics Geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Mathematik Mathematische Physik Quantengruppe (DE-588)4252437-4 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Symplektische Geometrie (DE-588)4194232-2 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Algebraische Gruppe (DE-588)4001164-1 s Invariantentheorie (DE-588)4162209-1 s 2\p DE-604 Quantengruppe (DE-588)4252437-4 s 3\p DE-604 Symplektische Geometrie (DE-588)4194232-2 s 4\p DE-604 Geometrische Quantisierung (DE-588)4156720-1 s 5\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 6\p DE-604 Brylinski, Jean-Luc edt Brylinski, Ranee edt Nistor, Victor edt Tsygan, Boris edt Xu, Ping edt Progress in Mathematics 172 (DE-604)BV000004120 172 https://doi.org/10.1007/978-1-4612-1770-1 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Advances in Geometry Progress in Mathematics Mathematics Geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Mathematik Mathematische Physik Quantengruppe (DE-588)4252437-4 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Symplektische Geometrie (DE-588)4194232-2 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Invariantentheorie (DE-588)4162209-1 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
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title | Advances in Geometry |
title_auth | Advances in Geometry |
title_exact_search | Advances in Geometry |
title_full | Advances in Geometry edited by Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu |
title_fullStr | Advances in Geometry edited by Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu |
title_full_unstemmed | Advances in Geometry edited by Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu |
title_short | Advances in Geometry |
title_sort | advances in geometry |
topic | Mathematics Geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Mathematik Mathematische Physik Quantengruppe (DE-588)4252437-4 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Symplektische Geometrie (DE-588)4194232-2 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Invariantentheorie (DE-588)4162209-1 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
topic_facet | Mathematics Geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Mathematik Mathematische Physik Quantengruppe Algebraische Geometrie Symplektische Geometrie Geometrische Quantisierung Invariantentheorie Algebraische Gruppe Aufsatzsammlung |
url | https://doi.org/10.1007/978-1-4612-1770-1 |
volume_link | (DE-604)BV000004120 |
work_keys_str_mv | AT brylinskijeanluc advancesingeometry AT brylinskiranee advancesingeometry AT nistorvictor advancesingeometry AT tsyganboris advancesingeometry AT xuping advancesingeometry |