# On the generic local Langlands correspondence for GSpin groups

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.
Document type :
Journal articles
Domain :
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01067949
Contributor : Volker Heiermann <>
Submitted on : Wednesday, September 24, 2014 - 1:59:54 PM
Last modification on : Monday, March 4, 2019 - 2:04:18 PM

### Identifiers

• HAL Id : hal-01067949, version 1
• ARXIV : 1312.6482

### Citation

Volker Heiermann, Yeansu Kim. On the generic local Langlands correspondence for GSpin groups. Transactions AMS, 2017, 369, 4275-4291, https://doi.org/10.1090/tran/6791. 〈hal-01067949〉

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