论文标题

本地Langlands对应的B(g) - 参数化

The B(G)-parametrization of the local Langlands correspondence

论文作者

Meli, Alexander Bertoloni, Oi, Masao

论文摘要

本文介绍了根据Vogan哲学的非QuaSi-Split组在本地领域的局部兰兰族对应关系的参数化。我们表明,由Kottwitz集的基本部分索引的参数化(这是纯内曲的集合的扩展)意味着由完整的Kottwitz集索引的参数化。在Galois方面,我们考虑了$ L $ - 参数(即不是组件组)的完整centralizer组的不可约代数表示。当$ f $是一个$ p $ - adic字段时,我们将讨论内窥镜角色身份的概括。

This article is on the parametrization of the local Langlands correspondence over local fields for non-quasi-split groups according to the philosophy of Vogan. We show that a parametrization indexed by the basic part of the Kottwitz set (which is an extension of the set of pure inner twists) implies a parametrization indexed by the full Kottwitz set. On the Galois side, we consider irreducible algebraic representations of the full centralizer group of the $L$-parameter (i.e not a component group). When $F$ is a $p$-adic field, we discuss a generalization of the endoscopic character identity.

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