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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
2005.
|
| Colección: | London Mathematical Society lecture note series ;
213. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 005 | 20231017213018.0 | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Mackenzie, K. |q (Kirill) | |
| 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 | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 213 | |
| 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Lie groupoids. | |
| 650 | 0 | |a Lie algebroids. | |
| 650 | 0 | |a Vector bundles. | |
| 650 | 0 | |a Connections (Mathematics) | |
| 650 | 6 | |a Lie, Groupoïdes de. | |
| 650 | 6 | |a Algébroïdes de Lie. | |
| 650 | 6 | |a Fibrés vectoriels. | |
| 650 | 6 | |a Connections (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 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 | |
| 650 | 1 | 7 | |a Lie-groepen. |2 gtt |
| 650 | 1 | 7 | |a Lie-algebra's. |2 gtt |
| 710 | 2 | |a London Mathematical Society. | |
| 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 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 213. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569280 |z Texto completo |
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