General Theory of Lie Groupoids and Lie Algebroids: 213

General Theory of Lie Groupoids and Lie Algebroids: 213 book cover

General Theory of Lie Groupoids and Lie Algebroids: 213

Author(s): Kirill Mackenzie (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 13 April 2009
  • Edition: Illustrated
  • Language: English
  • Print length: 540 pages
  • ISBN-10: 0521499283
  • ISBN-13: 9780521499286

Book 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.

Editorial Reviews

Review

‘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

Book Description

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry.

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