Unipotent Representations and Reductive Dual Pairs over Finite Fields

DOI10.2307/2154558zbMath0829.22025OpenAlexW4255959154MaRDI QIDQ4276543

Allen Moy, Jeffrey D. Adams

Publication date: 7 February 1994

Full work available at URL: https://doi.org/10.2307/2154558

zbMATH Keywords

reductive dual pairsunipotent representationscuspidal unipotent representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of finite groups of Lie type (20C33)

Related Items (14)

Weak cuspidality and the Howe correspondence ⋮ Howe correspondence for reductive groups over finite fields ⋮ Descents of unipotent cuspidal representations of finite classical groups ⋮ On the Gan-Gross-Prasad problem for finite unitary groups ⋮ Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences ⋮ Wavefront sets and descent method for finite unitary groups ⋮ Descents of unipotent representations of finite unitary groups ⋮ Generic Hecke algebra and theta correspondence over finite fields ⋮ Supercuspidal representations and preservation principle of theta correspondence ⋮ Weil representations of finite symplectic groups and finite odd-dimensional orthogonal groups ⋮ On the Gan-Gross-Prasad problem for finite classical groups ⋮ Extremal unipotent representations for the finite Howe correspondence ⋮ Rank and duality in representation theory ⋮ Remarks on the theta correspondence over finite fields

Cites Work

• Unnamed Item
• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• Representations of reductive groups over finite fields
• Irreducible representations of finite classical groups
• The characters of the finite unitary groups
• Weil representations of finite classical groups
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Characters of Reductive Groups over a Finite Field. (AM-107)

This page was built for publication: Unipotent Representations and Reductive Dual Pairs over Finite Fields