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General Theory of Lie Groupoids and Lie Algebroids by Kirill C. H. Mackenzie
General Theory of Lie Groupoids and Lie Algebroids by Kirill C. H. Mackenzie
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General Theory of Lie Groupoids and Lie Algebroids

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Description

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.

Author Biography:

Kirill Mackenzie is a reader in Pure Mathematics at the University of Sheffield
Release date Australia
June 9th, 2005
Audience
  • Professional & Vocational
Pages
540
Dimensions
152x229x31
ISBN-13
9780521499286
Product ID
2397634

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Books >
Non-Fiction >
Maths & Science >
Mathematics >
Algebra >
Groups & group theory
Books >
Non-Fiction >
Maths & Science >
Mathematics >
Groups & group theory