A combinatorial note for harmonic tensors.
In this note the author proves that the annihilator of the space \(V^{\otimes n}/V^{\otimes n}B_n^{(1)}\) in the group algebra \(K S_n\) of the symmetric group \(S_n\) is the two-sided ideal generated by the symmetrizer \(x_{(m+1)}\), where \(\dim V=2m\).
scientific article; zbMATH DE number 6093807