Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909494958620672 |
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| author | Gurevich, Nadya Kazhdan, David |
| author_facet | Gurevich, Nadya Kazhdan, David |
| contents | Let $G$ be a split simply-connected group of type $D$ or $E$. The minimal automorphic representation $Π$ 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 $\mathcal S(X(\mathbb A)).$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$ Gurevich, Nadya Kazhdan, David Representation Theory 22E55, 22E50 Let $G$ be a split simply-connected group of type $D$ or $E$. The minimal automorphic representation $Π$ 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 $\mathcal S(X(\mathbb A)).$ |
| title | Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$ |
| topic | Representation Theory 22E55, 22E50 |
| url | https://arxiv.org/abs/2403.19640 |