On $L$-packets and depth for $SL_2(K)$ and its inner form
| Autor: | Aubert, Anne-Marie, Mendes, Sergio, Plymen, Roger, Solleveld, Maarten |
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| Rok vydání: | 2016 |
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| Zdroj: | Int. J. Number Theory 10.13 (2017), 2545-2568 |
| Druh dokumentu: | Working Paper |
| Popis: | We consider the group $SL_2(K)$, where $K$ is a local non-archimedean field of characteristic two. We prove that the depth of any irreducible representation of $SL_2 (K)$ is larger than the depth of the corresponding Langlands parameter, with equality if and only if the L-parameter is essentially tame. We also work out a classification of all $L$-packets for $SL_2 (K)$ and for its non-split inner form, and we provide explicit formulae for the depths of their $L$-parameters. Comment: 22 pages. This article supercedes arXiv:1402.0184 and arXiv:1302.6038 |
| Databáze: | arXiv |
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