The distinction problems for Sp4 and SO3,3
| Autor: | Hengfei Lu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Forum Mathematicum. 33:321-337 |
| ISSN: | 1435-5337 0933-7741 |
| DOI: | 10.1515/forum-2020-0184 |
| Popis: | This paper studies the Prasad conjecture for the special orthogonal group SO 3 , 3 \mathrm{SO}_{3,3} . Then we use the local theta correspondence between Sp 4 \mathrm{Sp}_{4} and O ( V ) \mathrm{O}(V) to study the Sp 4 \mathrm{Sp}_{4} -distinction problems over a quadratic field extension E / F E/F and dim V = 4 \dim V=4 or 6. Thus we can verify the Prasad conjecture for a square-integrable representation of Sp 4 ( E ) \mathrm{Sp}_{4}(E) . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|