$Γ$-Cohomology and the Selberg Zeta Function

dc.creatorBunke, Ulrich
dc.creatorOlbrich, Martin
dc.date1994-11-18
dc.date.accessioned2026-07-07T09:12:27Z
dc.date.available2026-07-07T09:12:27Z
dc.descriptionWe propose a new method for studying $n$- and $Γ$-cohomology of globalizations of Harish-Chandra modules, where $G=KAN$ is a rank one semisimple Lie group, $Γ$ is a discrete subgroup of $G$ and $n=Lie(N)$. We prove a conjecture of Patterson relating the singularities of Selberg zeta functions with the $Γ$-cohomology of principal series representations if $Γ$ is cocompact and torsion free.
dc.description21 pages, LATEX
dc.identifierhttps://arxiv.org/abs/dg-ga/9411004
dc.identifierhttp://arxiv.org/abs/dg-ga/9411004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152023
dc.subjectDifferential Geometry
dc.title$Γ$-Cohomology and the Selberg Zeta Function
dc.typetext

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