Endoscopic Lifting of Simple Supercuspidal Representations of Unramified U$_N$ to GL$_N$

Masao Oi

doi:10.4171/prims/55-4-9

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

Endoscopic Lifting of Simple Supercuspidal Representations of Unramified U $_{N}$ to GL $_{N}$

Masao Oi
Kyoto University, Japan

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Abstract

We compute the characters of simple supercuspidal representations of a twisted GL $_{N}$ and an unramified quasi-split unitary group U $_{N}$ over a $p$ -adic field. Comparing them by the endoscopic character relation, we determine the endoscopic lifts of simple supercuspidal representations of U $_{N}$ to GL $_{N}$ , under the assumption that $p$ is not equal to 2.

Cite this article

Masao Oi, Endoscopic Lifting of Simple Supercuspidal Representations of Unramified U $_{N}$ to GL $_{N}$ . Publ. Res. Inst. Math. Sci. 55 (2019), no. 4, pp. 895–938

DOI 10.4171/PRIMS/55-4-9