3 papers
math.RT2026
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}…
math.RT2025
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…
math.RT2025
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 -ad…