4 papers · 1 filter
Hecke operators and Q-groups associated to self-adjoint homogeneous cones
Paul E. Gunnells, Mark McConnell
Let 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 algori…
Modular symbols for Q-rank one groups and Voronoi reduction
Paul E. Gunnells
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…
Finiteness of minimal modular symbols for SL(n)
Paul E. Gunnells
Let K be a number field with ring of integers O, and let G be a finite-index subgroup of SL(n,O). Using a classical construction from the geometry of numbers and the theory of modu…
Symplectic modular symbols
Paul E. Gunnells
Let K be a number field with euclidean ring of integers O. Let G be a finite-index torsion-free subgroup of Sp(2n, O). We exhibit a finite, geometrically defined spanning set of th…