Let $\rho$ be the 3 dim standard representation of $S_4$.
Is the restriction of $\rho$ to $A_4$ irreducible?
If not, then what is the explicit construction of a 3dim irreducible of $A_4$?
Let $\rho$ be the 3 dim standard representation of $S_4$.
Is the restriction of $\rho$ to $A_4$ irreducible?
If not, then what is the explicit construction of a 3dim irreducible of $A_4$?
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