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arXiv · 2403.19640

Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$

Nadya Gurevich·David Kazhdan
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Abstract

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 $\mathcal S(X(\mathbb A)).$

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BibTeXRIS

Nadya Gurevich, David Kazhdan. 2024-03-28. Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$. https://arxiv.org/abs/2403.19640

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