Column antisymmetrizer of a Young tableau (source code)

= Column antisymmetrizer of a Young tableau
{c}
{title2=$b_t$}

The column antisymmetrizer of a <Young tableau> $t$ is the <group algebra> element
$$
b_t=\sum_{g\in C(t)}\operatorname{sgn}(g)g.
$$
On the Young permutation module it has one-dimensional image $\mathbb F e(t)$.