Character value of a representation
= Character value of a representation
{title2=$\chi(g)$}
= Character values of a representation
{synonym}
At an element $g$ of a <finite group>, a complex character value is the sum of the <roots of unity> which are the <eigenvalues> of its representing <matrix>. It is therefore an <algebraic integer>, and every <algebraic conjugate> has modulus at most the degree.