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arXiv:1505.04404 [math-ph]AbstractReferencesReviewsResources

Kinematical Uniqueness of Loop Quantum Gravity

Christian Fleischhack

Published 2015-05-17Version 1

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.

Comments: 17 pages, LaTeX with Birkh\"auser style. Uploaded version as accepted for publication in 2006, only modifications: present address added, journal information added to references if published in the meantime
Journal: Quantum Gravity: Mathematical Models and Experimental Bounds (Edited Volume, Birkh\"auser, Basel, 2007), pp. 203-219
Categories: math-ph, math.MP
Subjects: 83C45, 46L60, 46L30, 58D05, 81R15
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