# nLab Tannaka duality for Lie groupoids

category theory

## Applications

#### Differential geometry

differential geometry

synthetic differential geometry

∞-Lie theory

# Contents

## Idea

In (Trentinaglia) Tannaka duality for proper Lie groupoids is established by using instead of vector bundles something more general: not quite quasicoherent sheaves as in Tannaka duality for geometric stacks, maybe, but something the author calls “smooth Euclidean fields”.

## References

• Giorgio Trentinaglia, Tannaka duality for proper Lie groupoids PhD thesis, Journal of Pure and Applied Algebra (pdf, arXiv)
Created on May 27, 2011 15:10:13 by Urs Schreiber (89.204.137.74)