Abstract:
In this thesis we will present J. N. Bernstein's description of the centre of the category of smooth modules over l-groups for the case of GL(n;Qp). Firstly we decompose this category into two parts: quasi-cuspidal and non-quasi-cuspidal components. Then we analyse the center of each component separately. In the rst part, we follow the line of reasoning in the article \Le Centre de Bernstein" for the general case of l-groups. In the second part, we will analyse the centre of non-quasi-cuspidal components for the special case of GL(n;Qp).
