Modular symbols for Q-rank one groups and Voronoi reduction

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We 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.
19 pages, 5 figures, AMS-LaTeX, uses psfrag.sty, to appear in Journal of Number Theory

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Number Theory, 11F75

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http://salesiana.dossiersoluciones.com/handle/123456789/77383

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809058
 http://arxiv.org/abs/math/9809058

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arXiv