Gw. Anderson et T. Blazek, E-6 unification model building II. Clebsch-Gordan coefficients of 78 circle times 78, J MATH PHYS, 41(12), 2000, pp. 8170-8189
We have computed the Clebsch-Gordan coefficients for the product (000 001)x
(000 001), where (000 001) is the adjoint 78-dimensional representation of
E-6. The results are presented for the dominant weights of the irreducible
representations in this product. As a simple application we express the sin
glet operator in 27x78x (27) over bar in terms of multiplets of the Standar
d Model gauge group. (C) 2000 American Institute of Physics. [S0022-2488(00
)03610-0].