منابع مشابه
Formes Modulaires Et Représentations -adiques
(2π)Γ(s)Lτ (s) is invariant under s 7→ 12 − s. The Ramanujan conjecture affirms that the roots of the polynomial Hp are of absolute value p −11/2 (i.e. that |τ(p)| < 2p). These properties, proven or conjectural, are similar to conjectural properties of zeta functions of algebraic varieties over Q. Suggested by this, in a first approximation, it is tempting to interpret the function Lτ as the ze...
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The modulars extensions are for the purely inseparables extensions what are the Galoisian extensions for the separables extensions. However if L is an intermediate field of K/k, we haven’t K/k modular =⇒ K/L modular . Such extensions are described in [5], in the case, K is a tensor product of simples extensions. We gives here a description in the general case. Résumé. Les extensions modulaires ...
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Let Qp be an algebraic closure of Qp and C its p-adic completion. Let K be a finite extension of Qp contained in Qp and set GK = Gal(Qp/K). A Qp-representation (resp. a C-representation) of GK is a finite dimensional Qp-vector space (resp. C-vector space) equipped with a linear (resp. semi-linear) continuous action of GK . A banach representation of GK is a topological Qp-vector space, whose to...
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We study some geometric properties of actions on nonpositively curved spaces related to complete reducibility and semisimplicity, focusing on representations of a finitely generated group Γ in the group G of rational points of a reductive group over a local field, acting on the associated space (symmetric space or affine building). We prove that the space of completely reducible classes is the ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1986
ISSN: 0021-8693
DOI: 10.1016/0021-8693(86)90121-3