Poisson geometry, deformation quantisation and group representations:
Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to gr...
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| Other Authors: | , , |
|---|---|
| Format: | Electronic Conference Proceeding eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2005
|
| Series: | London Mathematical Society lecture note series
323 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 359 pages) |
| ISBN: | 9780511734878 |
| DOI: | 10.1017/CBO9780511734878 |
Staff View
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| 505 | 8 | 0 | |g pt. 1 |t Poisson geometry and Morita equivalence |g 1 |t Introduction |g 2 |t Poisson geometry and some generalizations |g 3 |t Algebraic Morita equivalence |g 4 |t Geometric Morita equivalence |g 5 |t Geometric representation equivalence |g pt. 2 |t Formality and star products |g 1 |t Introduction |g 2 |t The star product |g 3 |t Rephrasing the main problem : the formality |g 4 |t Digression : what happens in the dual |g 5 |t The Kontsevich formula |g 6 |t From local to global deformation quantization |g pt. 3 |t Lie groupoids, sheaves and cohomology |g 1 |t Introduction |g 2 |t Lie groupoids |g 3 |t Sheaves on Lie groupoids |g 4 |t Sheaf cohomology |g 5 |t Compactly supported cohomology |g pt. 4 |t Geometric methods in representation theory |
| 520 | |a Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer | ||
| 650 | 4 | |a Poisson manifolds | |
| 650 | 4 | |a Poisson algebras | |
| 650 | 4 | |a Representations of groups | |
| 700 | 1 | |a Gutt, Simone |4 edt | |
| 700 | 1 | |a Rawnsley, John H. |d 1947- |4 edt | |
| 700 | 1 | |a Sternheimer, Daniel |4 edt | |
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| contents | Poisson geometry and Morita equivalence Introduction Poisson geometry and some generalizations Algebraic Morita equivalence Geometric Morita equivalence Geometric representation equivalence Formality and star products The star product Rephrasing the main problem : the formality Digression : what happens in the dual The Kontsevich formula From local to global deformation quantization Lie groupoids, sheaves and cohomology Lie groupoids Sheaves on Lie groupoids Sheaf cohomology Compactly supported cohomology Geometric methods in representation theory |
| ctrlnum | (ZDB-20-CBO)CR9780511734878 (OCoLC)846961708 (DE-599)BVBBV043941357 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511734878 |
| format | Electronic Conference Proceeding eBook |
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| institution | BVB |
| isbn | 9780511734878 |
| language | English |
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| spelling | Poisson geometry, deformation quantisation and group representations edited by Simone Gutt, John Rawnsley, Daniel Sternheimer Poisson Geometry, Deformation Quantisation & Group Representations Cambridge Cambridge University Press 2005 1 online resource (x, 359 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 323 Title from publisher's bibliographic system (viewed on 05 Oct 2015) pt. 1 Poisson geometry and Morita equivalence 1 Introduction 2 Poisson geometry and some generalizations 3 Algebraic Morita equivalence 4 Geometric Morita equivalence 5 Geometric representation equivalence pt. 2 Formality and star products 1 Introduction 2 The star product 3 Rephrasing the main problem : the formality 4 Digression : what happens in the dual 5 The Kontsevich formula 6 From local to global deformation quantization pt. 3 Lie groupoids, sheaves and cohomology 1 Introduction 2 Lie groupoids 3 Sheaves on Lie groupoids 4 Sheaf cohomology 5 Compactly supported cohomology pt. 4 Geometric methods in representation theory Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer Poisson manifolds Poisson algebras Representations of groups Gutt, Simone edt Rawnsley, John H. 1947- edt Sternheimer, Daniel edt London Mathematical Society issuing body Sonstige oth Erscheint auch als Druckausgabe 978-0-521-61505-1 https://doi.org/10.1017/CBO9780511734878 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Poisson geometry, deformation quantisation and group representations Poisson geometry and Morita equivalence Introduction Poisson geometry and some generalizations Algebraic Morita equivalence Geometric Morita equivalence Geometric representation equivalence Formality and star products The star product Rephrasing the main problem : the formality Digression : what happens in the dual The Kontsevich formula From local to global deformation quantization Lie groupoids, sheaves and cohomology Lie groupoids Sheaves on Lie groupoids Sheaf cohomology Compactly supported cohomology Geometric methods in representation theory Poisson manifolds Poisson algebras Representations of groups |
| title | Poisson geometry, deformation quantisation and group representations |
| title_alt | Poisson Geometry, Deformation Quantisation & Group Representations Poisson geometry and Morita equivalence Introduction Poisson geometry and some generalizations Algebraic Morita equivalence Geometric Morita equivalence Geometric representation equivalence Formality and star products The star product Rephrasing the main problem : the formality Digression : what happens in the dual The Kontsevich formula From local to global deformation quantization Lie groupoids, sheaves and cohomology Lie groupoids Sheaves on Lie groupoids Sheaf cohomology Compactly supported cohomology Geometric methods in representation theory |
| title_auth | Poisson geometry, deformation quantisation and group representations |
| title_exact_search | Poisson geometry, deformation quantisation and group representations |
| title_full | Poisson geometry, deformation quantisation and group representations edited by Simone Gutt, John Rawnsley, Daniel Sternheimer |
| title_fullStr | Poisson geometry, deformation quantisation and group representations edited by Simone Gutt, John Rawnsley, Daniel Sternheimer |
| title_full_unstemmed | Poisson geometry, deformation quantisation and group representations edited by Simone Gutt, John Rawnsley, Daniel Sternheimer |
| title_short | Poisson geometry, deformation quantisation and group representations |
| title_sort | poisson geometry deformation quantisation and group representations |
| topic | Poisson manifolds Poisson algebras Representations of groups |
| topic_facet | Poisson manifolds Poisson algebras Representations of groups |
| url | https://doi.org/10.1017/CBO9780511734878 |
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