Local Langlands correspondence for even orthogonal groups via theta lifts

• Rui Chen ^[1] ; Jialiang Zou ^[1]
  1. [1] National University of Singapore

     National University of Singapore

     Singapur

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 5, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00704-8
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• Resumen

  • Using theta correspondence, we obtain a classification of irreducible representations of an arbitrary even orthogonal group (i.e. the local Langlands correspondence) by deducing it from the local Langlands correspondence for symplectic groups due to Arthur. Moreover, we show that our classifications coincide with the local Langlands correspondence established by Arthur and formulated precisely by Atobe–Gan for quasi-split even orthogonal groups.