General Theory of Lie Groupoids and Lie Algebroids

General Theory of Lie Groupoids and Lie Algebroids
Author: Kirill C. H. Mackenzie
Publisher: Cambridge University Press
Total Pages: 540
Release: 2005-06-09
Genre: Mathematics
ISBN: 0521499283

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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 andgeneral 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 such, this book will be of great interest to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.


General Theory of Lie Groupoids and Lie Algebroids
Language: en
Pages: 540
Authors: Kirill C. H. Mackenzie
Categories: Mathematics
Type: BOOK - Published: 2005-06-09 - Publisher: Cambridge University Press

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This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relati
Lie Groupoids and Lie Algebroids in Differential Geometry
Language: en
Pages: 345
Authors: K. Mackenzie
Categories: Mathematics
Type: BOOK - Published: 1987-06-25 - Publisher: Cambridge University Press

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This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie group
General Theory of Lie Groupoids and Lie Algebroids
Language: en
Pages: 501
Authors: Kirill Mackenzie
Categories: Connections (Mathematics)
Type: BOOK - Published: 2005 - Publisher:

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This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relati
Lie Groupoids and Lie Algebroids in Differential Geometry
Language: en
Pages: 344
Authors: Kirill Mackenzie
Categories: MATHEMATICS
Type: BOOK - Published: 2014-05-14 - Publisher:

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This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie group
Introduction to Foliations and Lie Groupoids
Language: en
Pages: 187
Authors: I. Moerdijk
Categories: Mathematics
Type: BOOK - Published: 2003-09-18 - Publisher: Cambridge University Press

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This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay betwee