nLab
Tannaka duality for Lie groupoids

Context

Category theory

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Lie theory

∞-Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

Tannaka duality for Lie groupoids.

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)