Gelfand pairs \((\text{Sp}_{4n}(F),\text{Sp}_{2n}(E))\)

DOI10.1016/j.jnt.2010.03.013zbMath1204.11087OpenAlexW1990509494MaRDI QIDQ710482

Lei Zhang

Publication date: 19 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.03.013

zbMATH Keywords

Gelfand pairsgeneralized Harish-Chandra descent

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Related Items

Model transition under local theta correspondence, \(\mathrm{Sp}_{2n}(\mathbb F_{q^2})\)-invariants in irreducible unipotent representations of \(\mathrm{Sp}_{4n}(\mathbb F_q)\)., Distinguished tame supercuspidal representations of symmetric pairs \(\mathrm{Sp}_{4n}(F), \mathrm{Sp}_{2n}(E))\). With an appendix by Dihua Jiang and Lei Zhang, Symplectic models for unitary groups

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