Hecke operators and Q-groups associated to self-adjoint homogeneous cones

dc.creatorGunnells, Paul E.
dc.creatorMcConnell, Mark
dc.date1998-11-23
dc.date1998-11-24
dc.date.accessioned2026-07-07T05:26:57Z
dc.date.available2026-07-07T05:26:57Z
dc.descriptionLet G be a reductive algebraic group associated to a self-adjoint homogeneous cone defined over Q, and let G' be an appropriate neat arithmetic subgroup of G. We present two algorithms to compute the action of the Hecke operators on the integral cohomology of G'. This simultaneously generalizes the modular algorithm of Ash-Rudolph to a larger class of groups, and provides techniques to compute the Hecke-module structure of previously inaccessible cohomology groups.
dc.description25 pages, 10 figures, uses psfrag.sty; authors names omitted from first version
dc.identifierhttps://arxiv.org/abs/math/9811133
dc.identifierhttp://arxiv.org/abs/math/9811133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77751
dc.subjectNumber Theory
dc.subject11F75
dc.titleHecke operators and Q-groups associated to self-adjoint homogeneous cones
dc.typetext

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