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).
Barthel,Local Howe correspondence for groups of similitudes, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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).