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Phys. Rev. Lett. 97, 061302 (2006) [4 pages]

Irreducibility of the Weyl Algebra in Loop Quantum Gravity

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Christian Fleischhack*
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstraße 22-26, 04103 Leipzig, Germany

Received 23 August 2005; revised 4 June 2006; published 11 August 2006

The irreducibility of the standard Weyl algebra representation in loop quantum gravity is proven using a very short and direct argument.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.061302
DOI:
10.1103/PhysRevLett.97.061302
PACS:
04.60.Pp

*Electronic address: chfl@mis.mpg.de