Genericity and contragredience in the local Langlands correspondence
Genericity and contragredience in the local Langlands correspondence
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DOI：
10.2140/ant.2013.7.2447
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发表时间：
2012-03
影响因子：
1.3
通讯作者：
Tasho Kaletha
中科院分区：
文献类型：
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作者：
Tasho Kaletha
我们证明了Adams-Vogan和D.普拉萨德关于行为的地方朗兰兹对应方面采取contragradient的一个代表。证明适用于拟分裂真实的K-群和拟分裂p-adic经典群（在亚瑟的意义下）的调和表示。我们还证明了一个公式的行为的本地朗兰兹对应这些群体的惠特克数据的变化。
We prove the recent conjectures of Adams-Vogan and D. Prasad on the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. The proof holds for tempered representations of quasi-split real K-groups and quasi-split p-adic classical groups (in the sense of Arthur). We also prove a formula for the behavior of the local Langlands correspondence for these groups with respect to changes of the Whittaker data.