Fourier coefficients of automorphic forms, character variety orbits, and small representations

DOI10.1016/j.jnt.2012.05.032zbMath1272.11062arXiv1202.0210OpenAlexW2963993039MaRDI QIDQ455815

Stephen D. Miller, Siddhartha Sahi

Publication date: 22 October 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0210

zbMATH Keywords

automorphic formsadjoint actionFourier expansionsexceptional groupswavefront setsmall representationscharacter variety orbitsinternal Chevalley modulesWhittaker models

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)

Related Items (11)

Small automorphic representations and degenerate Whittaker vectors ⋮ Supergravity divergences, supersymmetry and automorphic forms ⋮ Fourier coefficients for degenerate Eisenstein series and the descending decomposition ⋮ Exact \(\nabla^{4}\mathcal{R}^{4}\) couplings and helicity supertraces ⋮ Small representations, string instantons, and Fourier modes of Eisenstein series ⋮ Global uniqueness of small representations ⋮ Whittaker coefficients of metaplectic Eisenstein series ⋮ Fourier coefficients attached to small automorphic representations of \(\operatorname{SL}_n(\mathbb{A})\) ⋮ Whittaker supports for representations of reductive groups ⋮ Eulerianity of Fourier coefficients of automorphic forms ⋮ Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

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