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arxiv: 0903.1409 · v6 · pith:32TDBDKInew · submitted 2009-03-08 · 🧮 math.RT

A general form of Gelfand-Kazhdan criterion

classification 🧮 math.RT
keywords groupcriteriongelfand-kazhdangeneralrealreductiveapplicationcoefficients
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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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