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arXiv · 2211.13864

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

Alexander Bertoloni Meli·Masao Oi
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Abstract

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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Alexander Bertoloni Meli, Masao Oi. 2022-11-25. The B(G)-parametrization of the local Langlands correspondence. https://arxiv.org/abs/2211.13864

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