Modular symbols for Q-rank one groups and Voronoi reduction
Number Theory
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9809058,
title = {Modular symbols for Q-rank one groups and Voronoi reduction},
author = {Paul E. Gunnells},
journal= {arXiv preprint arXiv:math/9809058},
year = {2007}
}
Comments
19 pages, 5 figures, AMS-LaTeX, uses psfrag.sty, to appear in Journal of Number Theory