Schur module (source code)

= Schur module
{c}
{title2=$D_\lambda(V)$}

A Schur <module> is the value of a <Schur functor> on a <vector space>. Over the <complex numbers> it is either zero or an irreducible <polynomial representation> of the <general linear group>. Its <character> is the <Schur polynomial> $s_\lambda$ in the <eigenvalues>, and its highest weight is $\lambda$ padded with zeros.