Explicit Siegel modular forms of weights 1/2 and 3/2 are constructed from the classical Weil representation for SL2(R) using specific 2-cocycles, reorganized via tensor induction, and extended to GL2(R).
Automorphic forms and the Langlands program
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Siegel modular forms associated to Weil representations: $\operatorname{SL}_2(\mathbb{R}) \& \operatorname{GL}_2(\mathbb{R})$ cases
Explicit Siegel modular forms of weights 1/2 and 3/2 are constructed from the classical Weil representation for SL2(R) using specific 2-cocycles, reorganized via tensor induction, and extended to GL2(R).