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arXiv · 1312.6482

On the generic local Langlands correspondence for GSpin groups

Volker Heiermann·Yeansu Kim
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Abstract

In the case of split $GSpin$ groups, we prove an equality of $L$-functions between automorphic local $L$-functions defined by the Langlands-Shahidi method and local Artin $L$-functions. Our method of proof is based on previous results of the first author which allow to reduce the problem to supercuspidal representations of Levi subgroups of $GSpin$, by constructing Langlands parameters for general generic irreducible admissible representations of $GSpin $ from the one for generic irreducible supercuspidal representations of its Levi subgroups.

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Volker Heiermann, Yeansu Kim. 2013-12-23. On the generic local Langlands correspondence for GSpin groups. https://arxiv.org/abs/1312.6482

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