Cuspidal representations associated to \((\text{GL}(n),O(n))\) over finite fields and \(p\)-adic fields

DOI10.1006/jabr.1998.7664zbMath0918.22013OpenAlexW2067035859MaRDI QIDQ1283665

Zhengyu Mao, Jeffrey Hakim

Publication date: 30 March 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7664

zbMATH Keywords

finite fieldGelfand pairsupercuspidal representations\(p\)-adic fieldsimilitude groupspherical pair

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33)

Related Items (5)

Distinguished tame supercuspidal representations and odd orthogonal periods ⋮ Supercuspidal representations of \(\mathrm{GL}_n(F)\) distinguished by an orthogonal involution ⋮ Theta lifts and distinction for regular supercuspidal representations ⋮ Distinguished Representations of Reductive p-Adic Groups ⋮ Tame supercuspidal representations of 𝐺𝐿_{𝑛} distinguished by orthogonal involutions

Cites Work

• Multiplicity-free permutation representations of finite linear groups
• Representations of reductive groups over finite fields
• Supercuspidal representations of \(\text{GL}(n)\) distinguished by a unitary subgroup
• Metaplectic correspondence
• Opération de groupes réductifs dans un type de cônes presque homogènes
• A fundamental lemma for metaplectic correspondence
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