The amplification method in the $GL\left(3\right)$ Hecke algebra
Publications Mathématiques de Besançon (2015), pp. 13-40.

Cet article contient tous les ingrédients techniques nécessaires à la mise en place efficace, explicite et inconditionnelle de la méthode d’amplification dans le cadre des formes automorphes de $GL\left(3\right)$. En particulier, il y est donné plusieurs décompositions explicites de systèmes de représentants dans l’algèbre de Hecke de $GL\left(3\right)$.

This article contains all the technical ingredients required to implement an effective, explicit and unconditional amplifier in the context of $GL\left(3\right)$ automorphic forms. In particular, several coset decomposition computations in the $GL\left(3\right)$ Hecke algebra are explicitly done.

Reçu le : 2015-10-01
Publié le : 2016-01-24
DOI : https://doi.org/10.5802/pmb.11
Classification : 11F99,  11F60,  11F55
Mots clés: Amplification method, Hecke operators, Hecke algebras
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author = {Roman Holowinsky and Guillaume Ricotta and Emmanuel Royer},
title = {The amplification method in the $GL(3)$ Hecke algebra},
journal = {Publications Math\'ematiques de Besan\c con},
publisher = {Presses universitaires de Franche-Comt\'e},
year = {2015},
pages = {13-40},
doi = {10.5802/pmb.11},
zbl = {1380.11053},
language = {en},
url = {pmb.centre-mersenne.org/item/PMB_2015____13_0/}
}
Roman Holowinsky; Guillaume Ricotta; Emmanuel Royer. The amplification method in the $GL(3)$ Hecke algebra. Publications Mathématiques de Besançon (2015), pp. 13-40. doi : 10.5802/pmb.11. https://pmb.centre-mersenne.org/item/PMB_2015____13_0/

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