Answer by anon for The sum over all irreducible characters of an element of...
You're missing something very important: $G^{\ast}$, the set of group homorphisms $G\to\mathbb{C}^{\times}$, is a group under pointwise multiplication. That is, if $\chi$ and $\chi'$ are homomorphisms,...
View ArticleThe sum over all irreducible characters of an element of an abelian group is...
This seems like a very fundamental thing, yet I simply cannot prove it. I have some ideas, but need help fleshing them out.I want to prove:Let $G$ be a finite abelian group, and let $G^\star$ be the...
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