Vanishing of the leading term in Harish-Chandra’s local character expansion

DOI10.1090/S0002-9939-96-03183-8zbMath0854.22012OpenAlexW1871347961MaRDI QIDQ4890297

Reid C. Huntsinger

Publication date: 20 January 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03183-8

zbMATH Keywords

Fourier transformscharacterrepresentationreductive \(p\)-adic groupnilpotent orbitHarish-Chandra formula

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• Cuspidal geometry of p-adic groups
• Asymptotic behaviour of supercuspidal characters of \(p\)-adic \(GL_ 3\) and \(GL_ 4\): The generic unramified case
• Orbital integrals in reductive groups
• Elliptic representations for \(\text{Sp}(2n)\) and \(\text{SO}(n)\)
• A theorem on semi-simple \(p\)-adic groups
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• Computation of certain induced characters of P-adic groups
• The Fourier transform and germs of characters (case of Gl\(_n\) over a \(p\)- adic field)
• Notes on representation theory of non-Archimedean \(SL(n)\)
• Characters of supercuspidal representations of classical groups

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