Mark McConnell

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math.NT2000

Cohomology of congruence subgroups of SL(4,Z)

Avner Ash, Paul E. Gunnells, Mark McConnell

Let $N > 1$ be an integer, and let $Γ= Γ_0 (N) \subset \SL_4 (\Z)$ be the subgroup of matrices with bottom row congruent to $(0, 0, 0, *) mod N$ . We compute $H^5 (Γ; \C) $ for a range o…

math.NT1998

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…