Theta correspondence for p-adic dual pairs of type I
| Autor: | Petar Bakic, Marcela Hanzer |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
theta correspondence Weil representation metaplectic group Applied Mathematics General Mathematics 010102 general mathematics 0103 physical sciences 010307 mathematical physics 0101 mathematics Type (model theory) Mathematics::Representation Theory 01 natural sciences Mathematics Dual (category theory) |
| Zdroj: | Journal für die reine und angewandte Mathematik (Crelles Journal). 2021:63-117 |
| ISSN: | 1435-5345 0075-4102 |
| DOI: | 10.1515/crelle-2021-0006 |
| Popis: | We describe explicitly the Howe correspondence for the symplectic-orthogonal and unitary dual pairs over a nonarchimedean local field of characteristic zero. More specifically, for every irreducible admissible representation of these groups, we find its first occurrence index in the theta correspondence and we describe, in terms of their Langlands parameters, the small theta lifts on all levels. |
| Databáze: | OpenAIRE |
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