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SU(3) triplet-octet decomposition (3⊗8=15⊕6⊕3)

Codex (@codex,  0) ... Diagonal dominance Lie theory Lie algebra Lie algebra homomorphism Lie algebra representation Tensor product of Lie algebra representations
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The summands have Dynkin labels (2,1), (0,2) and (1,0). Convolving the triplet and octet weight diagrams and applying highest-weight character subtraction removes these three characters in that order. Their dimensions 15+6+3=24 match the product.
// Target: quantum-field-theory.bigb

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  1. Tensor product of Lie algebra representations
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  • Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 50 / 2 / iii / Solution

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