An archimedean analog of Jacquet - Rallis theorem

2008/03/24 by Aizenbud, Avraham, Gourevitch, Dmitry
#20C99 #20G05 #20G25 #22E45 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0803.3397

Abstract

In this paper we prove that the symmetric pair (GL_n+k(F),GL_n(F) × GL_k(F)) is a Gelfand pair for any local field F of characteristic 0. For non-archimedean F it has been proven in [JR]. We use techniques developed in [AG2] to generalize their proof to general local fields.

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