= Matrix coefficient
{title2=$x\mapsto\rho(x)_{ij}$}
A matrix coefficient of a finite-dimensional <group representation> is a scalar function obtained by applying a <linear functional> to the translate of a fixed vector. In a chosen <basis> these functions include $x\mapsto\rho(x)_{ij}$. For a <finite group>, the <Schur orthogonality relations> make the scaled coefficients of all inequivalent <unitary irreducible representations> an <orthonormal basis> of its scalar functions.
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