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gr-qc2008
Discrete Quantum Gravity: II. Simplicial complexes, irreps of SL(2,C), and a Lorentz invariant weight in a state sum model
P. Kramer, M. Lorente
In part I of [1] we have developed the tensor and spin representation of SO(4) in order to apply it to the simplicial decomposition of the Barrett-Crane model. We attach to each fa…
gr-qc2008
Discrete Quantum Gravity: I. Zonal spherical functions of the representationsof the SO(4,R) group with respect to the SU(2) subgroup and their application to the Barrett-Crane model
P. Kramer, M. Lorente
Starting from the defining transformations of complex matrices for the group, we construct the fundamental representation and the tensor and spinor representations of the…