%0 Journal Article
%T Modular symbols for Q-rank one groups and Voronoi reduction
%A Paul E. Gunnells
%J Mathematics
%D 1998
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/9809058v1