Littlewood–Richardson rule (source code)

= Littlewood–Richardson rule
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For induction of $S^\mu\boxtimes S^\lambda$ to the <symmetric group> on $|\mu|+|\lambda|$ letters, the <Specht filtration> multiplicity of $S^\nu$ is the number of <Semistandard Young tableaux> of <skew shape> $\nu/\mu$, content $\lambda$, and <lattice word> read from right to left in each row, taking rows from top to bottom. In <characteristic> zero these are <irreducible> constituents; in positive <characteristic> they remain Specht factors rather than simple constituents. Content $(1)$ gives the add-one-cell induction rule.