Format:
1 online resource (ix, 173 pages)
ISBN:
9780521831970
,
9780521539609
,
9780511615450
Series Statement:
Cambridge studies in advanced mathematics 91
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521831970
Additional Edition:
ISBN 9780521539609
Additional Edition:
Moerdijk, Izak Introduction to foliations and Lie groupoids Cambridge [u.a.] : Cambridge University Press, 2003 ISBN 9780521831970
Additional Edition:
ISBN 0521831970
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521831970
Language:
English
Subjects:
Mathematics
Keywords:
Riemannsche Blätterung
;
Lie-Gruppoid
;
Lie-Algebroid
;
Einführung
DOI:
10.1017/CBO9780511615450
