2004/11/14 by Miguel Lorente, M. Lorente, Lorente, M.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Analogy #Black Holes and Theoretical Physics #Classical mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Group (periodic table) #Invariant (physics) #Loop quantum gravity #Lorentz covariance #Lorentz group #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Poincaré group #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Spin foam #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0411068
LaTex, 6 pages. Communication presented to the XXV international Colloquium on Group Theoretical Methods in Physics, Cocoyoc, Mexico August 2004. To be published by IOP Publishers
arxiv created 2004/11/14 · openalex publication_date 2004/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In a recent paper [1] we have constructed the spin and tensor representations of SO(4) from which the invariant weight can be derived for the Barrett-Crane model in quantum gravity. By analogy with the SO(4) group, we present the complexified Clebsch-Gordan coefficients in order to construct the Biedenharn-Dolginov function for the SO(3,1) group and the spherical function as the Lorentz invariant weight of the model.