Endoscopic Lifting of Simple Supercuspidal Representations of Unramified U to GL

  • 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 GL and an unramified quasi-split unitary group U over a -adic field. Comparing them by the endoscopic character relation, we determine the endoscopic lifts of simple supercuspidal representations of U to GL, under the assumption that is not equal to 2.

Cite this article

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

DOI 10.4171/PRIMS/55-4-9