# Answer to Question #23718 in Abstract Algebra for jeremy

Question #23718

Show that the First Orthogonality Relation can be generalized to

(sum over g∈G) χ_i(g^−1)χ_j(hg) = δ_ij |G|χ_i(h)/n_i,

where h is any element in G, and n_i = χ_i(1).

(sum over g∈G) χ_i(g^−1)χ_j(hg) = δ_ij |G|χ_i(h)/n_i,

where h is any element in G, and n_i = χ_i(1).

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