General Theory of Lie Groupoids and Lie Algebroids

Kirill C. H. Mackenzie (University of Sheffield), N. J. Hitchin

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English

Cambridge University Press
28 July 2005

Mathematics & Sciences; Groups & group theory

Series: London Mathematical Society Lecture Note Series

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.

By: Kirill C. H. Mackenzie (University of Sheffield)
Series edited by: N. J. Hitchin
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 213
Dimensions: Height: 229mm, Width: 152mm, Spine: 31mm
Weight: 790g
ISBN: 9780521499286
ISBN 10: 0521499283
Series: London Mathematical Society Lecture Note Series
Pages: 540
Publication Date: 28 July 2005
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Kirill Mackenzie is a reader in Pure Mathematics at the University of Sheffield

Reviews for General Theory of Lie Groupoids and Lie Algebroids

'The book is a fine and up-to-date introduction to the theory of Lie groupoids and Lie algebroids written by a leading specialist in the field ... The presentation and the choice of the topics are very impressive. One can easily discern a long fascination by and research involvement in the subject.' Zentralblatt MATH