Endoscopic character identities for depth-zero supercuspidal L-packets

Details Endoscopic character identities for depth-zero supercuspidal L-packets Endoscopic character identities for depth-zero supercuspidal L-packets

2009-09-08

arxiv.org/abs/0909.1533v1

Mathematics

Representation Theory

42 pages

Scientific paper

We prove the conjectural endoscopic transfer of L-packets for the local Langlands correspondence for pure inner forms of unramified p-adic groups and depth-zero parameters established by DeBacker and Reeder. More precisely, we show that under mild conditions on the residual characteristic, endoscopic induction identifies an unstable character of such an L-packet with the stable character of the corresponding endoscopic L-packet.

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