Représentations de Weil et GL2 - Algèbres de division et GLn

This monograph represents the first two parts of the author''s research on the generalization of class field theory for the noncommutative case. Part I concentrates on the construction of all the irreducible representations of a multiplicative group B* of a quaternion algebra B over a local field k with residue field of characteristic 2. These results are of considerable significance in the light ...