21 citations · 80 across the 62 of their papers we have counts for
5 papers · 2 filters
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…
Computing Hecke eigenvalues below the cohomological dimension
Paul E. Gunnells
Let G be a torsion-free finite-index subgroup of SL(n,Z) or GL(n,Z), and let d be the cohomological dimension of G. We present an algorithm to compute the eigenvalues of the Hecke…
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…