Exterior square of an SU2 irreducible representation
= Exterior square of an SU2 irreducible representation
The odd-parity summands give
$$
\bigwedge^2V_n\cong
\bigoplus_{k=0}^{\lfloor(n-1)/2\rfloor}V_{2n-4k-2}.
$$
= Exterior square of an SU2 irreducible representation
The odd-parity summands give
$$
\bigwedge^2V_n\cong
\bigoplus_{k=0}^{\lfloor(n-1)/2\rfloor}V_{2n-4k-2}.
$$