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If $G$ is a finite group and $\chi$ is the character of an irreducible complex representation of $G$, then its Frobenius-Schur indicator is given by $\frac{1}{|G|}\sum_{g\in G} \chi(g^2).$ It is $0$, $1$, or $-1$ depending on whether the type of the representation is complex type, real, or quaternionic respectively.

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• Last edited by John Jones on 2020-12-17 09:30:37
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