General Theory of Lie Groupoids and Lie Algebroids

General Theory of Lie Groupoids and Lie Algebroids pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Kirill Mackenzie
出品人:
页数:540
译者:
出版时间:2009-4-13
价格:GBP 82.00
装帧:Paperback
isbn号码:9780521499286
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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.

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此书的优点就是细节比较丰富,缺点则是太技术化计算量有点大,.很多内容就是直接从作者自己的paper上copy下来,特别是到double vector bundles之后,计算变得相当的繁杂,然后我就囫囵吞枣的吞过去了。

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