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Let V be a crystalline p-adic representation of the absolute Galois group GK of an finite unramified extension K of Qp and T a lattice of V stable by GK . We prove the following result : Let FilV be the maximal sub-representation of V with Hodge-Tate weights strictly positive and FilT = T ∩ FilV . Then, the projective limit of the H g (K(μpn), T ) is equal up to torsion to the projective limit ...

We construct a new operation among representations of the symmetric group that interpolates between the classical internal and external products, which are defined in terms of tensor product and induction of representations. Following Malvenuto and Reutenauer, we pass from symmetric functions to non-commutative symmetric functions and from there to the algebra of permutations in order to relate...

We give an introduction to the theory of quiver representations, in its algebraic and geometric aspects. The main result is Gabriel’s theorem that characterizes quivers of finite representation type. Résumé. Nous donnons une introduction à la théorie des représentations des carquois, sous ses aspects algébrique et géométrique. Le résultat principal est le théorème de Gabriel qui caractérise les...

We construct a representation theory of a “quantum hyperboloid” in terms of so-called braided modules. We treat these objects in the framework of twisted Quantum Mechanics. Résumé Nous construisons une théorie de représentations pour « l’hyperboloïde quantique » en termes de modules tressés. Nous traitons ces objets dans le cadre de la mécanique quantique tordue.