Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)
Number Theory
2018-10-16 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.1602.03453,
title = {Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)},
author = {Masao Oi},
journal= {arXiv preprint arXiv:1602.03453},
year = {2018}
}
Comments
40 pages, final version, to appear in Amer. J. Math