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For questions about the algebraic concept of 'character': a function from a group into a field satisfying certain properties. Not to be confused with the more commonly known psychological term.

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Expressing $\sum_{g\in [G/H]}ge_Hg^{-1}\in Z(\mathbb{C}[G])$ in terms of primitive central i...

Is there any way to somewhat explicitly extract which characters have their corresponding central idempotents in this linear combination, and/or their multiplicity? … Just looking at the Mackey formula and since $ge_Hg^{-1}=e_{gHg^{-1}}$, my guess is it may be characters that are constituents of $\operatorname{Ind}^G_H(1_H)$, or something similar, but I am unsure. …
Denise Gi's user avatar
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