Parity of the Langlands parameters of conjugate self-dual representations of GL(n) and the local Jacquet-Langlands correspondence

Abstract

We determine the parity of the Langlands parameter of a conjugate self-dual supercuspidal representation of GL(n) over a non-archimedean local field by means of the local Jacquet-Langlands correspondence. It gives a partial generalization of a previous result on the self-dual case by Prasad and Ramakrishnan.

28 pages

References in corpus (1)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups

Cited by in corpus (4)

• Simple supercuspidal L-packets of quasi-split classical groups
• Geometric approach to the explicit local Langlands correspondence
• Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N)
• Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)