Theta correspondence and the Prasad conjecture for SL(2)
Representation Theory
2018-06-14 v2
Abstract
We use relations between the base change representations and theta lifts, to give a new proof to the local period problems of SL(2) over a nonarchimedean quadratic field extension E/F. Then we will verify the Prasad conjecture for SL(2). With a similar strategy, we obtain a certain result for the Prasad conjecture for Sp(4).
Keywords
Cite
@article{arxiv.1802.01941,
title = {Theta correspondence and the Prasad conjecture for SL(2)},
author = {Hengfei Lu},
journal= {arXiv preprint arXiv:1802.01941},
year = {2018}
}
Comments
15 pages