Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$
| Autor: | Gurevich, Nadya, Kazhdan, David |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $G$ be a split simply-connected group of type $D$ or $E$. The minimal automorphic representation $\Pi$ of $G(\mathbb A)$ admits a realization on a space of functions $\mathcal S(X(\mathbb A))$ for a variety $X$. In this paper we write explicitly an automorphic, i.e. $G(F)$-invariant, functional on $\mathcal S(X(\mathbb A)).$ Comment: The introduction has been rewritten. The mathematics is mainly unchanged |
| Databáze: | arXiv |
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