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While studying Lie groups and in particular the representations I have some trouble with determining whether a representation is a symmetric, antisymmetric or mixed tensor product of the fundamental representations. I'm working with SO(5) to get an understanding about the actual mechanisms.

I used Georgi's bookLie Algebras in Particle Physics. Do I understand correctly when saying that a representation, [itex](a,b) = \bigotimes_a (1,0)\bigotimes_b (0,1)[/itex] is symmetric if b = 0, antisymmetric if a = 0? Or is there more to it?

Joris

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# Representation symmetric, antisymmetric or mixed

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