Character of the homogeneous polynomial representation of SU2
= Character of the homogeneous polynomial representation of SU2
If $g\in SU_2$ has eigenvalues $z,z^{-1}$, then
$$
\chi_{V_n}(g)=z^n+z^{n-2}+\cdots+z^{-n}.
$$
= Character of the homogeneous polynomial representation of SU2
If $g\in SU_2$ has eigenvalues $z,z^{-1}$, then
$$
\chi_{V_n}(g)=z^n+z^{n-2}+\cdots+z^{-n}.
$$