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A class of deformations of the q-quantum gravity loop algebra is shown to be incompatible with the combinatorics of Temperley-Lieb recoupling theory with deformation parameter at a root of unity.
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L. Kauffman and Lins, Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds
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S. Major and L. Smolin, Nuc. Phys
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R. Borissov, S. Major, and L. Smolin, Class. Quant. Grav
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S. Major, q q -Quantum Gravity
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C. Soo, arXiv:gr-qc/0109046
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L. Smolin, arXiv:hep-th/0209079
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T.Thiemann, arXiv:hep-th/0608210
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S. Major, Nuc. Phys
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L. Freidel and L. Smolin, Class. Quant. Grav
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C. Rovelli, Quantum Gravity
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