Hecke Operators and Q-groups Associated to Self-adjoint Homogeneous Cones
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چکیده
Let G be a reductive algebraic group associated to a self-adjoint homogeneous cone defined over Q, and let Γ ⊂ G be a appropriate neat arithmetic subgroup. We present two algorithms to compute the action of the Hecke operators on H(Γ;Z) for all i. This simultaneously generalizes the modular symbol algorithm of Ash-Rudolph [7] to a larger class of groups, and provides techniques to compute the Hecke-module structure of previously inaccessible cohomology groups.
منابع مشابه
Hecke Operators and Q-groups Associated to Self-adjoint Homogeneous Cones
Let G be a reductive algebraic group associated to a self-adjoint homogeneous cone defined over Q, and let Γ ⊂ G be a appropriate neat arithmetic subgroup. We present two algorithms to compute the action of the Hecke operators on H(Γ;Z) for all i. This simultaneously generalizes the modular symbol algorithm of Ash-Rudolph [7] to a larger class of groups, and provides techniques to compute the H...
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