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
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