Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)

Abstract

We compute the characters of simple supercuspidal representations of twisted GL(2n) and standard SO(2n+1) over a p-adic field. Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of SO(2n+1) to GL(2n), under the assumption that p is not equal to 2.

40 pages, final version, to appear in Amer. J. Math

References in corpus (4)

• On the cuspidal support of discrete series for $p$-adic quasisplit $Sp(N)$ and $SO(N)$
• Local Galois representations of Swan conductor one
• On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groups
• Parity of the Langlands parameters of conjugate self-dual representations of GL(n) and the local Jacquet-Langlands correspondence

Cited by in corpus (1)

• Depth preserving property of the local Langlands correspondence for non-quasi-split unitary groups