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. 895–938DOI 10.4171/PRIMS/55-4-9