A note on rationality of orbital integrals on a \(p\)-adic group

DOI10.1007/BF02567517zbMath0856.22019OpenAlexW2015622337MaRDI QIDQ1911859

Magdy Assem

Publication date: 3 February 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156162

zbMATH Keywords

characterIgusa's theoremorbital integralsreductive algebraic groupIgusa zeta functionnon-Archimedean fieldrational representationIgusa local zeta functionsShalika germHarish-Chandra local character expansionlocal orbital zeta functionSchwartz-Bruhat function

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (2)

Premiers réguliers de l'analyse harmonique mod ℓ d'un groupe réductif p-adique ⋮ On a result of Moeglin and Waldspurger in residual characteristic 2

Cites Work

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• The rationality of the Poincaré series associated to the p-adic points on a variety
• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• A unipotent support for irreducible representations
• Orbital integrals in reductive groups
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Some Results on p-Adic Complex Powers
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• On definable subsets of p-adic fields
• Local character expansions
• Local Character Expansions for Supercuspidal Representations of U(3)

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