Thursday, 25 April 2019

group theory - How to get result 3otimes3=6oplusbar3 for SU(3) irreducible representations?


Let's have SU(3) irreducible representations 3,ˉ3. How to get result that 33=6ˉ3 ?

I'm interested in ˉ3 part. It's clear that for 33 we can use tensor rules by expanding corresponding matrix on symmetric 6 and antisymmetric parts. But why we have ˉ3, not 3, for antisymmetric part?




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