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Let U(N) be the quasi-split unitary group in N variables for a quadraticunramified extension of p-adic fields. We compute the characters of simplesupercuspidal representations of twisted GL(N) and U(N). Comparing them by theendoscopic character relation, we determine the liftings of simplesupercuspidal representations of U(N) to GL(N), under the assumption that p isnot equal to 2.

Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N)