Different Formula For the Character of an Induced Representation (Pt. III)
Point of Post: This post is a continuation of this one.
That said, note that for one has
Thus, is equal the diagonal entry of the matrix corresponding to for with respect to the basis . Thus,
And thus, finally putting it all together
1. Simon, Barry. Representations of Finite and Compact Groups. Providence, RI: American Math. Soc., 1996. Print.
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