I am working on all of the problems from Georgi's book in Lie algebras in particle physics (independent study), but I am stuck on one of them. The question is the following: "Find (2,1)x(2,1) (in su(3) using Young tableaux). Can you determine which representations appear antisymmetrically in the tensor product, and which appear symmetrically?" I understand the first part, and I get that (diagram - representation - dimension) xxx (2,1)  x times xxx (2,1)  x = xxxxxx (4,2)  xx + xxxxxx (5,0)  x x + xxxxx (2,3)  xxx + xxxxx (3,1)  xx x + xxxx (0,4)  xxxx + xxxx (1,2)  xxx x + xxx (0,1)  xxx xx + xxxxx (3,1)  xx x + xxxx (1,2)  xxx x + xxxx (2,0)  xx xx I don't quite get the second part. How can one determine from this which representations appear symmetrically or antisymmetrically in the tensor product? Any suggestions?