Modular symbols for Q-rank one groups and Voronoi reduction

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dc.creatorGunnells, Paul E.
dc.date1998-09-10
dc.date.accessioned2026-07-07T05:25:58Z
dc.date.available2026-07-07T05:25:58Z
dc.descriptionWe present an algorithm to compute the action of the Hecke operators on the top dimensional integral cohomology of certain torsion-free arithmetic subgroups of algebraic groups of Q-rank one. This generalizes the modular symbol algorithm to a setting including Bianchi groups and Hilbert modular groups. In addition, we generalize some results of Voronoi for real positive-definite quadratic forms to self-adjoint homogeneous cones of arbitrary Q-rank.
dc.description19 pages, 5 figures, AMS-LaTeX, uses psfrag.sty, to appear in Journal of Number Theory
dc.identifierhttps://arxiv.org/abs/math/9809058
dc.identifierhttp://arxiv.org/abs/math/9809058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77383
dc.subjectNumber Theory
dc.subject11F75
dc.titleModular symbols for Q-rank one groups and Voronoi reduction
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