A general form of Gelfand-Kazhdan criterion

Details A general form of Gelfand-Kazhdan criterion A general form of Gelfand-Kazhdan criterion

2009-03-08

arxiv.org/abs/0903.1409v6

Manuscript. Math., 136 (2011) no. 1-2, 185-197

Mathematics

Representation Theory

16 pages, to appear in Manuscripta Mathematica

Scientific paper

We formalize the notion of matrix coefficients for distributional vectors in
a representation of a real reductive group, which consist of generalized
functions on the group. As an application, we state and prove a Gelfand-Kazhdan
criterion for a real reductive group in very general settings.

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