关于低余维真李群胚整体结构的注记
A note on the global structure of proper Lie groupoids in low codimensions
摘要：
我们观察到，任何连通的真李群胚，其轨道的余维至多为2，在光滑向量丛上允许一个整体有效表示，即，其核心只由无效箭头组成的一种。作为应用，我们证明了在Morita等价条件下，任何这样的群胚都可以表示为G紧的作用群胚Gn X通过紧李群丛的扩张.
英文摘要：
We observe that any connected proper Lie groupoid whose orbits have codimension at most two admits a globally effective representation on a smooth vector bundle, i.e., one whose kernel consists only of ineffective arrows. As an application, we deduce that any such groupoid can up to Morita equivalence be presented as an extension of some action groupoid G n X with G compact by some bundle of compact Lie groups.
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