Suppose we know both the character of a representation (e.g. the adjoint) of a lie group $\mathrm{G}$ and that of a representation of a discrete group $\Gamma$, let us call them $\chi(G)$ and $\chi(\Gamma)$. Is it possible to derive from them the character of a representation of the quotient group $\mathrm{G/\Gamma}$, i.e. $\chi(\mathrm{G/\Gamma})$? If yes, how?
2026-04-07 17:40:23.1775583623
Character of representation of quotient group
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