Family of Siegel groups (awaiting review)

Siegel modular forms of degree $g$ transform under the action of a discrete subgroup $\Gamma$ of $\Sp(2g,\Q)$. We focus on certain discrete subgroups.

• Principal congruence subgroup: $\Gamma(N)$.
• Siegel parabolic subgroup: $\Gamma_0(N)$.
• Paramodular subgroup: $\Gamma^{\mathrm{para}}(d)$.