General theory of lie groupoids and lie algebroids / Kirill C.H. Mackenzie.

Format:

Book

Author/Creator:

Mackenzie, K. (Kirill)

Contributor:

London Mathematical Society.

Series:

London Mathematical Society lecture note series ; 213.

London Mathematical Society lecture note series ; 213

Language:

English

Subjects (All):

Lie groupoids.

Lie algebroids.

Physical Description:

xxxv, 501 pages : illustrations ; 23 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2005.

Summary:

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.

Notes:

Includes bibliographical references (pages 479-495) and index.

ISBN:

0521499283

OCLC:

58051681

Publisher Number:

9780521499283 (pbk.)