Corpus ID: 235458030

Counting Discrete, Level-$1$, Quaternionic Automorphic Representations on $G_2$

@inproceedings{Dalal2021CountingDL,
title={Counting Discrete, Level-\$1\$, Quaternionic Automorphic Representations on \$G\_2\$},
author={Rahul Dalal},
year={2021}
}
Quaternionic automorphic representations are one attempt to generalize to other groups the special place holomorphic modular forms have among automorphic representations of GL2. Here, we study quaternionic automorphic representations on the exceptional group G2. Using “hyperendoscopy” techniques from a previous work, we develop for quaternionic, G2representations an analog of the Eichler-Selberg trace formula for classical modular forms. We then use this together with some techniques of… Expand

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