Local Langlands correspondence for even orthogonal groups via theta lifts

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Selecta Mathematica-new Series

سال: 2021

ISSN: ['1022-1824', '1420-9020']

DOI: https://doi.org/10.1007/s00029-021-00704-8