Title: Analytic Structures on Representation Spaces of Reductive Groups

We show that every admissible representation of a real reductive group has a canonical system of Sobolev norms parametrized by positive characters of a minimal parabolic subgroup. These norms are compatible with morphisms of representations. Similar statement also holds for representations of reductive p-adic groups.

1991 Mathematics Subject Classification: 22E46 43A70 46E39

Keywords and Phrases: reductive groups,representations, Sobolev norms, canonical topology

Full text: dvi.gz 13 k, dvi 31 k, ps.gz 50 k.

Home Page of DOCUMENTA MATHEMATICA