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The rational character table of a finite group $G$ is a square tabulation of the values of certain complex characters which take values in $\mathbb{Q}$. Each row in the rational character table corresponds to the sum of the Galois conjugates of an irreducible complex character, each such sum appearing once. Note, the corresponding representations may not take values in $\GL_n(\Q)$, but their characters take values in $\Q$.

The row of a rational-valued character is marked by its label and the entries in the row are the values of that character on representatives of the corresponding rational conjugacy classes of $G$ given by their labels on the columns.

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  • Review status: beta
  • Last edited by John Jones on 2020-12-06 13:37:04
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