Godement-Jacquet L-functions and full theta lifts
classification
🧮 math.RT
keywords
fullgodement-jacquetl-functionsliftslocalthetaapplicationarbitrary
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We relate poles of local Godement-Jacquet L-functions to distributions on matrix spaces with singular supports. As an application, we show the irreducibility of the full theta lifts to $GL_n(F)$ of generic irreducible representations of $GL_n(F)$, where $F$ is an arbitrary local field.
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