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- Centre National de la Recherche ScientifiqueFR19 papers
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4 papers · 1 filter
Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry
Alain Connes, Henri Moscovici
We settle in this paper a question left open in our paper ``Modular Hecke algebras and their Hopf symmetry'', by showing how to extend the Rankin-Cohen brackets from modular forms…
Modular Hecke Algebras and their Hopf Symmetry
Alain Connes, Henri Moscovici
We introduce and begin to analyse a class of algebras, associated to congruence subgroups, that extend both the algebra of modular forms of all levels and the ring of classical Hec…
Symetries Galoisiennes et Renormalisation
Alain Connes
We first explain our joint work with Dirk Kreimer on the Hopf and Lie algebras of Feynman graphs. The conceptual meaning of the concrete computations of perturbative renormalisatio…
Cyclic Cohomology, Quantum group Symmetries and the Local Index Formula for SUq(2)
Alain Connes
We analyse the noncommutative space underlying the quantum group SUq(2) from the spectral point of view which is the basis of noncommutative geometry, and show how the general theo…