On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups
| Autor: | Moshe Adrian, Eyal Kaplan |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Popis: | Let $\pi$ be a simple supercuspidal representation of the split even special orthogonal group. We compute the Rankin-Selberg $\gamma$-factors for rank 1-twists of $\pi$ by quadratic tamely ramified characters of $F^*$. We then use our results to determine the Langlands parameter of $\pi$ up to its restriction to the wild inertia subgroup, subject to an analogue of a work of Blondel, Henniart, and Stevens for $SO_{2l}$. In the particular case of the field $\mathbb{Q}_2$, we are able to describe the parameter completely. Comment: 19 pages |
| Databáze: | OpenAIRE |
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