Answer to Question #18554 in Abstract Algebra for Mohammad

Question #18554

Let Fk(G) be the k-space of class functions on G, given the inner product
[μ, ν] = 1/|G| *(Sum over g) μ(g^−1)ν(g).
Assuming that char k = 0, show that M is irreducible iff [χM, χM] = 1, for some kG-module M.

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