Theta correspondence and the Prasad conjecture for SL(2)
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).
 Publication:

arXiv eprints
 Pub Date:
 February 2018
 DOI:
 10.48550/arXiv.1802.01941
 arXiv:
 arXiv:1802.01941
 Bibcode:
 2018arXiv180201941L
 Keywords:

 Mathematics  Representation Theory;
 11F27
 EPrint:
 15 pages