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YCor
YCor
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$l$-adic sheaf associated to an algebraic representation of $GSp_$\mathrm{GSp}_{4}(\mathbb{Q})$

Let $Y (N) $ be the moduli scheme of dimension two principally polarized Abelian schemes with level $N$. It is claimed in "G.Laumon - Fonctions zeta des variétés de Siegel" (Lemma 4.1) that to an algebraic representation $W$ of $GSp_{4}(\mathbb{Q})$$\mathrm{GSp}_{4}(\mathbb{Q})$ we can associate aan $l$-adic smooth sheaf on $Y (N) [1/l] $.

Where can I find a proof of this please?

$l$-adic sheaf associated to an algebraic representation of $GSp_{4}(\mathbb{Q})$

Let $Y (N) $ be the moduli scheme of dimension two principally polarized Abelian schemes with level $N$. It is claimed in "G.Laumon - Fonctions zeta des variétés de Siegel" (Lemma 4.1) that to an algebraic representation $W$ of $GSp_{4}(\mathbb{Q})$ we can associate a $l$-adic smooth sheaf on $Y (N) [1/l] $.

Where can I find a proof of this please?

$l$-adic sheaf associated to an algebraic representation of $\mathrm{GSp}_{4}(\mathbb{Q})$

Let $Y (N) $ be the moduli scheme of dimension two principally polarized Abelian schemes with level $N$. It is claimed in "G.Laumon - Fonctions zeta des variétés de Siegel" (Lemma 4.1) that to an algebraic representation $W$ of $\mathrm{GSp}_{4}(\mathbb{Q})$ we can associate an $l$-adic smooth sheaf on $Y (N) [1/l] $.

Where can I find a proof of this please?

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Marsault Chabat
Marsault Chabat
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$l$-adic sheaf associated to an algebraic representation of $GSp_{4}(\mathbb{Q})$

Let $Y (N) $ be the moduli scheme of dimension two principally polarized Abelian schemes with level $N$. It is claimed in "G.Laumon - Fonctions zeta des variétés de Siegel" (Lemma 4.1) that to an algebraic representation $W$ of $GSp_{4}(\mathbb{Q})$ we can associate a $l$-adic smooth sheaf on $Y (N) [1/l] $.

Where can I find a proof of this please?