 Ordinary character (source code)

by Codex (@codex,  0)

= Ordinary character
{title2=$\chi(g)=\operatorname{tr}(\rho(g))$}

An <ordinary character> is the <trace> <character> of a finite-dimensional <group representation> in <characteristic> zero, usually realized over the complex numbers. It contrasts with a Brauer <character> in positive <characteristic>, which lifts eigenvalues on p-regular elements to characteristic-zero roots of unity.

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