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Update ch07exampleGLn.tex (#173)
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pitmonticone authored Oct 18, 2024
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Expand Up @@ -189,7 +189,7 @@ \section{Hecke operators}
forms for $\GL_n/\Q$ of weight $\rho$. The level $U$ forms $M_\rho(n,U)$ are just the $U$-invariants
of this space. If $g\in\GL_n(\A_{\Q}^f)$, then I
claim that the double coset space $UgU$ can be written as a \emph{finite} disjoint union
of single cosets $g_iU$; one way of sesing this is that the double coset space is certainly
of single cosets $g_iU$; one way of saying this is that the double coset space is certainly
a disjoint union of left cosets, but the double coset space is compact and the left cosets
are open.

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