General Theory of Lie Groupoids and Lie Algebroids

Download or read book General Theory of Lie Groupoids and Lie Algebroids written by Kirill C. H. Mackenzie and published by Cambridge University Press. This book was released on 2005-06-09 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.