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 verify the Prasad conjecture for SL(2). With a similar strategy, we obtain a certain result for the Prasad conjecture for Sp(4).
| Original language | English |
|---|---|
| Pages (from-to) | 477-498 |
| Number of pages | 22 |
| Journal | Pacific Journal of Mathematics |
| Volume | 295 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2018 |
| Externally published | Yes |
Keywords
- Base change
- Periods
- Prasad's conjecture
- Theta lifts
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