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math.RT2026
On classical doubling method gamma factors for certain depth zero representations
Johannes Girsch, Elad Zelingher
Piatetski-Shapiro--Rallis discovered an integral representation construction, known as the doubling method, for the tensor product -function of a cuspidal automorphic representa…
math.RT2025
On families of degenerate representations of GL_n(F)
Johannes Girsch, David Helm
We consider the stratification of the category of smooth representations of $\mbox{GL}_n(F)$ (for a -adic field) induced by degenerate Whittaker models. We show that, remark…
math.RT2024
On tori periods of Weil representations of unitary groups
Neelima Borade, Jonas Franzel, Johannes Girsch +3
We determine the restriction of Weil representations of unitary groups to maximal tori. In the local case, we show that the Weil representation contains a pair of compatible charac…