Calculation of 3jm Factors and the Matrix Elements of E7 Group Generators

Abstract

The matrix elements of the group generators of E7 have been calculated in an E7 :::> SU~x SU~ :::> SU: x SU~I x SU~:::> SUIf. X SU~ x Ur x SU~ basis for the fundamental and adjoint irreps of E7. The results were obtained by first calculating the 3jm factors for the various group-subgroup combinations. Tables of the relevant 3jm factors for E7:::> SU6 X SU3 , SU6 :::> SU2 X SU3 and SU3 :::> SU2 X U1 are given.