Eh...err...maybe. The lines get a bit blurry in physics, I think. The fundamental representation of su(n) (SU(n)?) is usually taken to mean the smallest rep (i.e. the `n' dimensional rep). It's called fundamental, I guess, because you can build all the other representations out of it by doing tensor products.
Sorry, my sloopy notation. Yes, it should be the rep of su(2) and not SU(2) but it's obvious to anyone familiar with such things which one is being referred to.
I've also heard it called the 'defining representation'. Georgi talks about it in his book.
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