Retrieving "Clebsch Gordan Coefficients" from the archives

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1. Loop Quantum Gravity

   Linked via "Clebsch-Gordan coefficients"

   Edges ($e$): Carry quantum numbers $j \in \{1/2, 1, 3/2, \dots \}$ associated with the area of the surface pierced by the edge. These numbers are related to the irreducible representations of the $\text{SU}(2)$ gauge group.
   Nodes ($v$): Represent the quantum volume elements, where multiple edges meet. The quantum numbers associated with the edges meeting at a node are coupled via Clebsch-Gordan coefficients to determine the quantum state of the node.
   The relationship between the excitation on the spin network and physical geometry is de…