Contragredient representations and characterizing the local Langlands correspondence
Contragredient representations and characterizing the local Langlands correspondence
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DOI：
10.1353/ajm.2016.0024
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发表时间：
2012-01
影响因子：
1.7
通讯作者：
Jeffrey Adams;D. Vogan
中科院分区：
文献类型：
--
作者：
Jeffrey Adams;D. Vogan
我们考虑的问题：什么是矛盾的L-同态？我们猜想它对应于L-群的Chevalley自同构，并在真实的群的情况下证明了这一点。证明使用的局部朗兰兹对应的特征超过$R$。在GL$（n，{\Bbb R}）$的情况下，我们也考虑了厄米特对偶的相关概念.
We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups. The proof uses a characterization of the local Langlands correspondence over $R$. We also consider the related notion of Hermitian dual, in the case of GL$(n,{\Bbb R})$.