Some remarks on the global structure of proper Lie groupoids in low codimensions |
| |
Authors: | Giorgio Trentinaglia |
| |
Institution: | Courant Forschungszentrum Strukturen höherer Ordnung in der Mathematik, Georg-August-Universität Göttingen, Germany |
| |
Abstract: | We observe that any connected proper Lie groupoid whose orbits have codimension at most two admits a globally effective representation, i.e. one whose kernel consists only of ineffective arrows, on a smooth vector bundle. As an application, we deduce that any such groupoid can up to Morita equivalence be presented as an extension, by some bundle of compact Lie groups, of some action groupoid G?X with G compact. |
| |
Keywords: | 58H05 22D35 |
本文献已被 ScienceDirect 等数据库收录! |
|