28 citations · 86 across the 22 of their papers we have counts for
22 papers
Pseudo-spherical representations and types for covers of split tori
Edmund Karasiewicz, Shuichiro Takeda
We introduce a notion of pseudo-spherical representations for any Brylinski-Deligne (BD) cover of a split torus over a -adic field. In particular, we do not assume that the cove…
Minimal depth -types for wild double covers and Shimura correspondences
Edmund Karasiewicz, Shuichiro Takeda
We construct some Iwahori types, in the sense of Bushnell-Kutzko, for the double cover of an almost simple simply-laced simply-connected Chevalley group over any $2…
The MVW involution of the metaplectic group
Shuichiro Takeda, Justin Trias
The MVW involution -- named after Colette Moeglin, Marie-France Vignéras, and Jean-Loup Waldspurger -- is a fundamental dualizing involution in the representation theory of -adi…
On dual groups of symmetric varieties and distinguished representations of -adic groups
Shuichiro Takeda
Let be a spherical variety over a -adic field. Assume is split. Let be the Langlands dual group of . There is a complex group $\widehat{G}…
A local converse theorem for archimedean GL(n)
Moshe Adrian, Shuichiro Takeda
We prove a local converse theorem for over the archimedean local fields which characterizes an infinitesimal equivalence class of irreducible admissible representations of $…
Contragredients and a multiplicity one theorem for general Spin groups
Melissa Emory, Shuichiro Takeda
Each orthogonal group $\OO(n)$ has a nontrivial $\GL(1)$-extension, which we call $\GPin(n)$. The identity component of $\GPin(n)$ is the more familiar $\GSpin(n)$, the general Spi…