Eisenstein Series*
نویسنده
چکیده
group GC defined over Q whose connected component G 0 Q has no rational character. It is also necessary to suppose that the centralizer of a maximal Q split torus of G0C meets every component of GC. The reduction theory of Borel applies, with trivial modifications, to G; it will be convenient to assume that Γ has a fundamental set with only one cusp. Fix a minimal parabolic subgroup P 0 C defined over Q and a maximal Q-split torus A 0 C of P 0 C so that the standard parabolic Q-subgroups are defined. A (standard) cuspidal (percuspidal) subgroup P is the normalizer in G of a (standard) parabolic (minimal parabolic) Q-subgroup PC of G 0 C. To each standard cuspidal subgroup P is associated a subspace AC of the Lie algebra a 0 C of A0C; this subspace will be called the split component of P . By definition the rank of P is equal to its dimension. The set a of real points on aC will also be called the split component of P . P is a product AMN where A is the analytic subgroup of G with the Lie algebra a, N is the
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