Groupoids and the integration of Lie algebroids

被引：36

作者：

Nistor, V ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2000年 / 52卷 / 04期

基金：

美国国家科学基金会;

关键词：

groupoid; differential groupoid; pseudodifferential operator; Lie algebroid; manifold with corners; non-commutative geometry;

D O I：

10.2969/jmsj/05240847

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a Lie algebroid on a stratified manifold is integrable if, and only if, its restriction to each strata is integrable. These results allow us to construct a large class of algebras of pseudodifferential operators. They are also relevant for the definition of the graph of certain singular foliations of manifolds with corners and the construction of natural algebras of pseudodifferential operators on a given complex algebraic variety.

引用

页码：847 / 868

页数：22

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