Decomposing a representation under a subgroup

Question

I am trying to remind myself how decomposing representations works by looking at an easy example.

Using the notation in Slansky, consider the representation of $SU(5)$ that has highest weight $(0\ 1\ 0\ 0)$. How does this rep decompose under $$SU(5)\rightarrow SU(3)\times SU(2)\times U(1)\ ?$$

Could someone please remind me how this works, and maybe mention the general steps along the way as well?

This post imported from StackExchange Physics at 2015-01-16 22:02 (UTC), posted by SE-user Heterotic

Comments

Related: physics.stackexchange.com/q/159597/2451

This post imported from StackExchange Physics at 2015-01-16 22:02 (UTC), posted by SE-user Qmechanic

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After some digging, I found these notes useful.