Matching of Hecke operators for exceptional dual pair correspondences

DOI10.1016/j.jnt.2013.07.002zbMath1380.11067arXiv1301.4542OpenAlexW2080635267MaRDI QIDQ462841

Michael Woodbury, Gordan Savin

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/1301.4542

zbMATH Keywords

Hecke operatorsdual pairs

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ ⋮ Howe duality and dichotomy for exceptional theta correspondences ⋮ Free Products of C*-Probability Spaces from p-Adic Hecke Algebras ⋮ An exceptional Siegel–Weil formula and poles of the Spin L-function of

Cites Work

• Howe correspondences on a \(p\)-adic field
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Cubic correspondences arising from G 2
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