Supercuspidal Gelfand pairs

DOI10.1016/S0022-314X(02)00131-2zbMath1016.22010MaRDI QIDQ1394922

Jeffrey Hakim

Publication date: 25 June 2003

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

zbMATH Keywords

symmetric spacesGelfand pairssupercuspidal representations

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

An orthogonality relation for spherical characters of supercuspidal representations ⋮ Distinction for unipotent \(p\)-adic groups ⋮ On Twisted Gelfand Pairs Through Commutativity of a Hecke Algebra ⋮ Multiplicity one theorems ⋮ Cuspidal representations of \(Gl(n,F)\) distinguished by a maximal Levi subgroup, with \(F\) a non-Archimedean local field

Cites Work

• Some qualitative results on the representation theory of \(GL_n\) over a \(p\)-adic field
• On Bessel distributions for \(GL_ 2\) over a \(p\)-adic field
• On a conjecture of Jacquet about distinguished representations of \(\text{GL}(n)\)
• Globalization of Distinguished Supercuspidal Representations of GL(n)
• Some applications of Gelfand pairs to number theory
• Minimum Vectors for Real Reductive Algebraic Groups
• Admissible distributions on p-adic symmetric spaces.
• Spherical Characters on p-Adic Symmetric Spaces
• On distinguished representations.
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