# Irreducibility of the Ashtekar–Isham–Lewandowski representation

@article{Sahlmann2003IrreducibilityOT, title={Irreducibility of the Ashtekar–Isham–Lewandowski representation}, author={H. Sahlmann and Thomas Thiemann}, journal={Classical and Quantum Gravity}, year={2003}, volume={23}, pages={4453 - 4471} }

Much of the work in loop quantum gravity and quantum geometry rests on a mathematically rigorous integration theory on spaces of distributional connections. Most notably, a diffeomorphism invariant representation of the algebra of basic observables of the theory, the Ashtekar–Isham–Lewandowski (AIL) representation, has been constructed. Recently, several uniqueness results for this representation have been worked out. In the present paper, we contribute to these efforts by showing that the AIL…

## 53 Citations

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