Homogeneous polynomial representation of SU2
= Homogeneous polynomial representation of SU2
= Homogeneous polynomial representations of SU2
{synonym}
The irreducible representation $V_n=\operatorname{Sym}^n(\mathbb C^2)$ consists of homogeneous degree-$n$ polynomials in two variables, with the action induced from the standard two-dimensional representation. It has dimension $n+1$.