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Introduction to foliations and Lie groupoids /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to foliations and Lie groupoids // I. Moerdijk and J. Mrc̆un.
其他題名:	Introduction to Foliations & Lie Groupoids
作者:	Moerdijk, Ieke,
其他作者:	Mrc̆un, J.,
面頁冊數:	1 online resource (ix, 173 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Foliations (Mathematics) -
電子資源:	https://doi.org/10.1017/CBO9780511615450
ISBN:	9780511615450 (ebook)

Introduction to foliations and Lie groupoids /
Moerdijk, Ieke,

Introduction to foliations and Lie groupoids /Introduction to Foliations & Lie GroupoidsI. Moerdijk and J. Mrc̆un. - 1 online resource (ix, 173 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;91. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.

ISBN: 9780511615450 (ebook)Subjects--Topical Terms:

786676
Foliations (Mathematics)

LC Class. No.: QA613.62 / .M64 2003

Dewey Class. No.: 514/.72

Introduction to foliations and Lie groupoids /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.
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