Kinematical Uniqueness of Loop Quantum Gravity

Abstract

We review uniqueness results for the kinematical part of loop quantum gravity. After sketching the general loop formalism, the holonomy-flux and the Weyl algebras are introduced. In both cases, then, diffeomorphism invariant representations are described.

17 pages, LaTeX with Birkhäuser style. Uploaded version as accepted for publication in 2006, only modifications: present address added, journal information added to references if published in the meantime