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A Siegel modular form on a discrete subgroup $\Gamma$ of $\Sp(2g,\Q)$ is said to be of level $N$ if $\Gamma$ is a congruence subgroup of level $N$.

A Siegel modular form on a discrete subgroup $\Gamma$ of $\Sp(2g,\Q)$ is said to be of level $N$ if $\Gamma$ is a congruence subgroup of level $N$.

Families of congruence subgroups are typically indexed by the minimal level $N$ of the subgroup. For example, in degree $2$, we have the paramodular groups $K(N)$, the congruence subgroups $\Gamma_0(N)$, and the principal congruence subgroups $\Gamma(N)$.

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  • Last edited by Fabien Cléry on 2024-01-11 05:29:19
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