General theory of lie groupoids and lie algebroids /:
This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
2005.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
213. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids. |
| Beschreibung: | 1 online resource (xxxv, 501 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 479-495) and index. |
| ISBN: | 9781107325883 1107325889 9781107088870 1107088879 1107100690 9781107100695 1107095034 9781107095038 1107103177 9781107103177 1107091756 9781107091757 |
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| 245 | 1 | 0 | |a General theory of lie groupoids and lie algebroids / |c Kirill C.H. Mackenzie. |
| 246 | 3 | 0 | |a Lie groupoids and lie algebroids |
| 260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 2005. | ||
| 300 | |a 1 online resource (xxxv, 501 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 479-495) and index. | ||
| 505 | 0 | 0 | |g 1. |t Lie groupoids : fundamental theory -- |g 2. |t Lie groupoids : algebraic constructions -- |g 3. |t Lie algebroids : fundamental theory -- |g 4. |t Lie algebroids : algebraic constructions -- |g 5. |t Infinitesimal connection theory -- |g 6. |t Path connections and lie theory -- |g 7. |t Cohomology and Schouten calculus -- |g 8. |t The cohomological obstruction -- |g 9. |t Double vector bundles -- |g 10. |t Poisson structures and lie algebroids -- |g 11. |t Poisson and symplectic groupoids -- |g 12. |t Lie bialgebroids. |
| 588 | 0 | |a Print version record. | |
| 520 | |a This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids. | ||
| 546 | |a English. | ||
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| 650 | 0 | |a Lie algebroids. |0 http://id.loc.gov/authorities/subjects/sh87001680 | |
| 650 | 0 | |a Vector bundles. |0 http://id.loc.gov/authorities/subjects/sh85142450 | |
| 650 | 0 | |a Connections (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85031181 | |
| 650 | 6 | |a Lie, Groupoïdes de. | |
| 650 | 6 | |a Algébroïdes de Lie. | |
| 650 | 6 | |a Fibrés vectoriels. | |
| 650 | 6 | |a Connections (Mathématiques) | |
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| 650 | 7 | |a Connections (Mathematics) |2 fast | |
| 650 | 7 | |a Lie algebroids |2 fast | |
| 650 | 7 | |a Lie groupoids |2 fast | |
| 650 | 7 | |a Vector bundles |2 fast | |
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| 776 | 0 | 8 | |i Print version: |a Mackenzie, K. (Kirill). |t General theory of lie groupoids and lie algebroids. |d Cambridge [England] ; New York : Cambridge University Press, 2005 |z 0521499283 |w (DLC) 2005296814 |w (OCoLC)58051681 |
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| author | Mackenzie, K. (Kirill) |
| author_GND | http://id.loc.gov/authorities/names/n86036454 |
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| author_facet | Mackenzie, K. (Kirill) London Mathematical Society |
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| contents | Lie groupoids : fundamental theory -- Lie groupoids : algebraic constructions -- Lie algebroids : fundamental theory -- Lie algebroids : algebraic constructions -- Infinitesimal connection theory -- Path connections and lie theory -- Cohomology and Schouten calculus -- The cohomological obstruction -- Double vector bundles -- Poisson structures and lie algebroids -- Poisson and symplectic groupoids -- Lie bialgebroids. |
| ctrlnum | (OCoLC)841393151 |
| dewey-full | 512.482 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512.482 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:19Z |
| institution | BVB |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Mackenzie, K. (Kirill) https://id.oclc.org/worldcat/entity/E39PCjx7XtQVwYqc9736H8xQjd http://id.loc.gov/authorities/names/n86036454 General theory of lie groupoids and lie algebroids / Kirill C.H. Mackenzie. Lie groupoids and lie algebroids Cambridge [England] ; New York : Cambridge University Press, 2005. 1 online resource (xxxv, 501 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 213 Includes bibliographical references (pages 479-495) and index. 1. Lie groupoids : fundamental theory -- 2. Lie groupoids : algebraic constructions -- 3. Lie algebroids : fundamental theory -- 4. Lie algebroids : algebraic constructions -- 5. Infinitesimal connection theory -- 6. Path connections and lie theory -- 7. Cohomology and Schouten calculus -- 8. The cohomological obstruction -- 9. Double vector bundles -- 10. Poisson structures and lie algebroids -- 11. Poisson and symplectic groupoids -- 12. Lie bialgebroids. Print version record. This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids. English. Lie groupoids. http://id.loc.gov/authorities/subjects/sh87001681 Lie algebroids. http://id.loc.gov/authorities/subjects/sh87001680 Vector bundles. http://id.loc.gov/authorities/subjects/sh85142450 Connections (Mathematics) http://id.loc.gov/authorities/subjects/sh85031181 Lie, Groupoïdes de. Algébroïdes de Lie. Fibrés vectoriels. Connections (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh Connections (Mathematics) fast Lie algebroids fast Lie groupoids fast Vector bundles fast Lie-groepen. gtt Lie-algebra's. gtt London Mathematical Society. http://id.loc.gov/authorities/names/n79118957 has work: General theory of lie groupoids and lie algebroids (Text) https://id.oclc.org/worldcat/entity/E39PCG9K7C9JPPVt4JX9Gx6K7d https://id.oclc.org/worldcat/ontology/hasWork Print version: Mackenzie, K. (Kirill). General theory of lie groupoids and lie algebroids. Cambridge [England] ; New York : Cambridge University Press, 2005 0521499283 (DLC) 2005296814 (OCoLC)58051681 London Mathematical Society lecture note series ; 213. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569280 Volltext |
| spellingShingle | Mackenzie, K. (Kirill) General theory of lie groupoids and lie algebroids / London Mathematical Society lecture note series ; Lie groupoids : fundamental theory -- Lie groupoids : algebraic constructions -- Lie algebroids : fundamental theory -- Lie algebroids : algebraic constructions -- Infinitesimal connection theory -- Path connections and lie theory -- Cohomology and Schouten calculus -- The cohomological obstruction -- Double vector bundles -- Poisson structures and lie algebroids -- Poisson and symplectic groupoids -- Lie bialgebroids. Lie groupoids. http://id.loc.gov/authorities/subjects/sh87001681 Lie algebroids. http://id.loc.gov/authorities/subjects/sh87001680 Vector bundles. http://id.loc.gov/authorities/subjects/sh85142450 Connections (Mathematics) http://id.loc.gov/authorities/subjects/sh85031181 Lie, Groupoïdes de. Algébroïdes de Lie. Fibrés vectoriels. Connections (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh Connections (Mathematics) fast Lie algebroids fast Lie groupoids fast Vector bundles fast Lie-groepen. gtt Lie-algebra's. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh87001681 http://id.loc.gov/authorities/subjects/sh87001680 http://id.loc.gov/authorities/subjects/sh85142450 http://id.loc.gov/authorities/subjects/sh85031181 |
| title | General theory of lie groupoids and lie algebroids / |
| title_alt | Lie groupoids and lie algebroids Lie groupoids : fundamental theory -- Lie groupoids : algebraic constructions -- Lie algebroids : fundamental theory -- Lie algebroids : algebraic constructions -- Infinitesimal connection theory -- Path connections and lie theory -- Cohomology and Schouten calculus -- The cohomological obstruction -- Double vector bundles -- Poisson structures and lie algebroids -- Poisson and symplectic groupoids -- Lie bialgebroids. |
| title_auth | General theory of lie groupoids and lie algebroids / |
| title_exact_search | General theory of lie groupoids and lie algebroids / |
| title_full | General theory of lie groupoids and lie algebroids / Kirill C.H. Mackenzie. |
| title_fullStr | General theory of lie groupoids and lie algebroids / Kirill C.H. Mackenzie. |
| title_full_unstemmed | General theory of lie groupoids and lie algebroids / Kirill C.H. Mackenzie. |
| title_short | General theory of lie groupoids and lie algebroids / |
| title_sort | general theory of lie groupoids and lie algebroids |
| topic | Lie groupoids. http://id.loc.gov/authorities/subjects/sh87001681 Lie algebroids. http://id.loc.gov/authorities/subjects/sh87001680 Vector bundles. http://id.loc.gov/authorities/subjects/sh85142450 Connections (Mathematics) http://id.loc.gov/authorities/subjects/sh85031181 Lie, Groupoïdes de. Algébroïdes de Lie. Fibrés vectoriels. Connections (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh Connections (Mathematics) fast Lie algebroids fast Lie groupoids fast Vector bundles fast Lie-groepen. gtt Lie-algebra's. gtt |
| topic_facet | Lie groupoids. Lie algebroids. Vector bundles. Connections (Mathematics) Lie, Groupoïdes de. Algébroïdes de Lie. Fibrés vectoriels. Connections (Mathématiques) MATHEMATICS Algebra Intermediate. Lie algebroids Lie groupoids Vector bundles Lie-groepen. Lie-algebra's. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569280 |
| work_keys_str_mv | AT mackenziek generaltheoryofliegroupoidsandliealgebroids AT londonmathematicalsociety generaltheoryofliegroupoidsandliealgebroids AT mackenziek liegroupoidsandliealgebroids AT londonmathematicalsociety liegroupoidsandliealgebroids |