 Row orthogonality relations for a character table

ID: row-orthogonality-relations-for-a-character-table

For irreducible complex characters

χ, ψ

\sum_{g \in G} χ (g) \overline{ψ (g)} = ∣ G ∣ δ_{χ ψ} .

Equivalently, summing over conjugacy classes

C

with representatives

c

gives

\sum_{C} ∣ C ∣ χ (c) \overline{ψ (c)} = ∣ G ∣ δ_{χ ψ} .

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