Langlands parameters associated to special maximal parahoric spherical representations
We describe the image, under the local Langlands correspondence for tori, of the characters of a torus which are trivial on its Iwahori subgroup. Let be a non-archimedian local field. Let be a connected reductive group defined over , which is quasi-split and split over a tamely ramified extension. L...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
May 2015
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| In: |
Proceedings of the American Mathematical Society
Year: 2015, Jahrgang: 143, Heft: 5, Pages: 1933-1941 |
| ISSN: | 1088-6826 |
| DOI: | 10.1090/S0002-9939-2014-12392-6 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1090/S0002-9939-2014-12392-6
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| Verfasserangaben: | Manish Mishra |
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| 520 | |a We describe the image, under the local Langlands correspondence for tori, of the characters of a torus which are trivial on its Iwahori subgroup. Let be a non-archimedian local field. Let be a connected reductive group defined over , which is quasi-split and split over a tamely ramified extension. Let be a special maximal parahoric subgroup of . To the class of representations of having a non-zero vector fixed under , we establish a bijection, in a natural way, with the twisted semisimple conjugacy classes of the inertia fixed subgroup of the dual group . These results generalize the well known classical results to the ramified case. | ||
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