On special unipotent orbits and Fourier coefficients for automorphic forms on symplectic groups

DOI10.1016/j.jnt.2014.03.002zbMath1386.11072arXiv1309.6238OpenAlexW2016798677MaRDI QIDQ462834

Baiying Liu, Di-Hua Jiang

Publication date: 22 October 2014

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

Full work available at URL: https://arxiv.org/abs/1309.6238

zbMATH Keywords

symplectic groupsautomorphic formsFourier coefficientsunipotent orbits

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (9)

Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups ⋮ On the irreducibility of global descents for even unitary groups and its applications ⋮ Factorization of classical characters twisted by roots of unity ⋮ Automorphic descent for symplectic groups: The branching problems and L -functions ⋮ Nilpotent orbits of orthogonal groups over \(p\)-adic fields, and the DeBacker parametrization ⋮ Classical theta lifts for higher metaplectic covering groups ⋮ On top Fourier coefficients of certain automorphic representations of \(\mathrm{GL}_n\) ⋮ A generalized Theta lifting, CAP representations, and Arthur parameters ⋮ Raising nilpotent orbits in wave-front sets

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