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

Abstract

Let U(N) be the quasi-split unitary group in N variables for a quadratic unramified extension of p-adic fields. We compute the characters of simple supercuspidal representations of twisted GL(N) and U(N). Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of U(N) to GL(N), under the assumption that p is not equal to 2.

35 pages. arXiv admin note: substantial text overlap with arXiv:1602.03453

References in corpus (2)

• Local Galois representations of Swan conductor one
• Parity of the Langlands parameters of conjugate self-dual representations of GL(n) and the local Jacquet-Langlands correspondence