Elliptic representations for \(\text{Sp}(2n)\) and \(\text{SO}(n)\)

DOI10.2140/pjm.1993.161.347zbMath0797.22007OpenAlexW1507117105MaRDI QIDQ1318497

Rebecca A. Herb

Publication date: 26 September 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.161.347

zbMATH Keywords

cusp formsreductive \(p\)-adic groupinduced representationsregular elliptic elementsirreducible tempered representationcharacter distribution

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) Induced representations for locally compact groups (22D30)

Related Items (9)

The Aubert involution and R-groups ⋮ On the elliptic representations of the \(p\)-adic group \(\mathrm{SL}(n)\) ⋮ \(R\)-groups for metaplectic groups ⋮ Classification of tempered representations of a non-connected \(p\)-adic group ⋮ On tempered and square integrable representations of classical \(p\)-adic groups ⋮ Tempered representations for classical \(p\)-adic groups ⋮ Vanishing of the leading term in Harish-Chandra’s local character expansion ⋮ A note on self-dual representations of \(\mathrm{Sp}(4,F)\) ⋮ Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups

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