Hecke operators and Q-groups associated to self-adjoint homogeneous cones

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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 algorithms to compute the action of the Hecke operators on the integral cohomology of G'. This simultaneously generalizes the modular algorithm of Ash-Rudolph to a larger class of groups, and provides techniques to compute the Hecke-module structure of previously inaccessible cohomology groups.
25 pages, 10 figures, uses psfrag.sty; authors names omitted from first version

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Number Theory, 11F75

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http://salesiana.dossiersoluciones.com/handle/123456789/77751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811133
 http://arxiv.org/abs/math/9811133

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arXiv