Linking Lie groupoid representations and representations of infinite-dimensional Lie groups

@article{Amiri2018LinkingLG,
  title={Linking Lie groupoid representations and representations of infinite-dimensional Lie groups},
  author={H. Amiri and Alexander Schmeding},
  journal={Annals of Global Analysis and Geometry},
  year={2018},
  volume={55},
  pages={749-775}
}
The present paper links the representation theory of Lie groupoids and infinite-dimensional Lie groups. We show that smooth representations of Lie groupoids give rise to smooth representations of associated Lie groups. The groups envisaged here are the bisection group and a group of groupoid self-maps. Then, representations of the Lie groupoids give rise to representations of the infinite-dimensional Lie groups on spaces of (compactly supported) bundle sections. Endowing the spaces of bundle… Expand

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