JournalsprimsVol. 55, No. 4pp. 895–938

Endoscopic Lifting of Simple Supercuspidal Representations of Unramified UN_N to GLN_N

  • Masao Oi

    Kyoto University, Japan
Endoscopic Lifting of Simple Supercuspidal Representations of Unramified U$_N$ to GL$_N$ cover

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Abstract

We compute the characters of simple supercuspidal representations of a twisted GLN_N and an unramified quasi-split unitary group UN_N over a pp-adic field. Comparing them by the endoscopic character relation, we determine the endoscopic lifts of simple supercuspidal representations of UN_N to GLN_N, under the assumption that pp is not equal to 2.

Cite this article

Masao Oi, Endoscopic Lifting of Simple Supercuspidal Representations of Unramified UN_N to GLN_N. Publ. Res. Inst. Math. Sci. 55 (2019), no. 4, pp. 895–938

DOI 10.4171/PRIMS/55-4-9