Calculation of 6j Symbols for the Exceptional Group E7

Abstract

The 6j symbols of the exceptional group £7 are studied and evaluated explicitly for a number of important cases involving the fundamental and adjoint representations. These 6j symbols suffice to calculate all the 3jm factors (or isoscalar factors) involving the fundamental or adjoint representations of £7 at least twice, except in the latter case those involving the power-4 irreps (426) and (3 225).