Non-cuspidality outside the middle degree of l-adic cohomology of the Lubin-Tate tower

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dc.creatorMieda, Yoichi
dc.date2008-06-04
dc.date.accessioned2026-07-07T09:42:38Z
dc.date.available2026-07-07T09:42:38Z
dc.descriptionIn this article, we consider the representations of the general linear group over a non-archimedean local field obtained from the vanishing cycle cohomology of the Lubin-Tate tower. We give an easy and direct proof of the fact that no supercuspidal representation appears as a subquotient of such representations unless they are obtained from the cohomology of the middle degree. Our proof is purely local and does not require Shimura varieties.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0806.0697
dc.identifierhttp://arxiv.org/abs/0806.0697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162255
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subject22E50; 14G35; 11F70
dc.titleNon-cuspidality outside the middle degree of l-adic cohomology of the Lubin-Tate tower
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