| Title:
|
Sur les représentations tempérées d'un groupe réductif $p$-adique non connexe: Cas où $G/G^{0}$ est commutatif et fini (French) |
| Author:
|
Bettaïeb, Karem |
| Language:
|
French |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
142 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
387-403 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Soit $G$ l'ensemble des points rationnels d'un groupe algébrique réductif non connexe $p$-adique de caractéristique $0$. Soit $G^{0}$ la composante neutre de $G$. On suppose que $G/G^{0}$ est commutatif et fini. Notre motivation pour cette note est de rejoindre le cas connexe d'un papier précédent, Bettaïeb, (2003). Autrement dit, de retrouver une analogue à notre classification des représentations irréductibles tempérées de $G$, lorsque $G$ est connexe. C'est-à-dire que toute représentation irréductible tempérée de $G$ est irréductiblement induite d'une limite de série discrète d'un sous-groupe de Lévi cuspidal de $G$. (French) |
| Keyword:
|
reductive $p$-adic group |
| Keyword:
|
tempered representation |
| MSC:
|
11E95 |
| MSC:
|
20G05 |
| MSC:
|
20G15 |
| idZBL:
|
Zbl 06819593 |
| idMR:
|
MR3739025 |
| DOI:
|
10.21136/MB.2017.0043-13 |
| . |
| Date available:
|
2017-11-20T15:02:53Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146978 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
