Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras

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dc.creatorNistor, Victor
dc.date2000-08-16
dc.date.accessioned2026-07-07T04:36:51Z
dc.date.available2026-07-07T04:36:51Z
dc.descriptionWe give a detailed calculation of the Hochschild and cyclic homology of the algebra $\CIc(G)$ of locally constant, compactly supported functions on a reductive p-adic group G. We use these calculations to extend to arbitrary elements the definition the higher orbital integrals introduced in \cite{Blanc-Brylinski} for regular semisimple elements. Then we extend to higher orbital integrals some results of Shalika. We also investigate the effect of the ``induction morphism'' on Hochschild homology.
dc.descriptionAMS-Latex, 27 pages
dc.identifierhttps://arxiv.org/abs/math/0008133
dc.identifierhttp://arxiv.org/abs/math/0008133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59753
dc.subjectRepresentation Theory
dc.titleHigher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras
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