Questions tagged [weil-representation]

In several papers one can find references to an isomorphism $$S_{k,\rho}^\text{new}\cong S_{2k-1}^{\text{new},\pm}(N)$$ between a space of half-integer weight $k$ vector-valued cusp forms with ...

Forgive me for asking what is undoubtedly an elementary question. The Weil representation (defined below) of the metaplectic group $\operatorname{Mp}_2(\mathbb{Z})$ can be defined in terms of the ...

$\def\FF{\mathbb{F}}\def\CC{\mathbb{C}}\def\QQ{\mathbb{Q}}\def\Sp{\text{Sp}}\def\SL{\text{SL}}\def\GL{\text{GL}}\def\PGL{\text{PGL}}$Let $p$ be an odd prime. The Weil representation is a $p^k$-...