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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2017

On the generic local Langlands correspondence for GSpin groups

Résumé

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.

Dates et versions

hal-01067949 , version 1 (24-09-2014)

Identifiants

Citer

Volker Heiermann, Yeansu Kim. On the generic local Langlands correspondence for GSpin groups. Transactions of the American Mathematical Society, 2017, 369 (6), pp.4275-4291. ⟨10.1090/tran/6791⟩. ⟨hal-01067949⟩
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