Theta correspondence and the Prasad conjecture for SL(2)
| Autor: | Hengfei Lu |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Conjecture General Mathematics 010102 general mathematics Extension (predicate logic) 01 natural sciences Base change 11F27 0103 physical sciences FOS: Mathematics Quadratic field 010307 mathematical physics 0101 mathematics Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory Prasad Mathematics |
| DOI: | 10.48550/arxiv.1802.01941 |
| Popis: | 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). Comment: 15 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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