= Horizontal strip
A horizontal strip is a <skew Young diagram> containing at most one cell in each column. Equivalently, $\lambda/\mu$ is a horizontal strip when $\lambda_i\geq\mu_i\geq\lambda_{i+1}$ for all $i$. The multiplicity of the <trivial representation> in the associated <skew representation of a symmetric group> is one for horizontal strips and zero otherwise. A column with two cells supplies a cyclic tableau vector on which an adjacent <transposition> acts by $-1$, excluding invariants.
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