English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider the split special orthogonal group $\mathrm{SO}_{N}$ defined overa $p$-adic field. We determine the structure of any $L$-packet of$\mathrm{SO}_{N}$ containing a simple supercuspidal representation (in thesense of Gross--Reeder). We also determine its endoscopic lift to a generallinear group. Combined with the explicit local Langlands correspondence forsimple supercuspidal representations of general linear groups, this leads us toget an explicit description of the $L$-parameter as a representation of theWeil group of $F$. Our result is new when $p=2$ and our method provides a newproof even when $p\neq2$.

Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields