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If $G$ is a finite group and $\chi$, the character of a complex representation, then the 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 representation is of complex type, real type, or quaternionic type respectively.

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  • Review status: beta
  • Last edited by John Jones on 2013-09-12 01:33:18
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