E 6 unification model building II. Clebsch–Gordan coefficients of 78⊗78

We have computed the Clebsch–Gordan coefficients for the product (000 001)⊗(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 si...

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Bibliographic Details
Published in:Journal of mathematical physics 2000-12, Vol.41 (12), p.8170-8189
Main Authors: Anderson, Gregory W., Blažek, Tomáš
Format: Article
Language:English
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Summary:We have computed the Clebsch–Gordan coefficients for the product (000 001)⊗(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 singlet operator in 27 ⊗ 78 ⊗ 27 ¯ in terms of multiplets of the Standard Model gauge group.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1308077