Multiplicity one theorem over characteristic 2

2021/08/13 by Mezer, Dor
#20G25 #22E50 (Primary) 20G05 #46F10 (Secondary) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2108.06300

Abstract

It is shown for all local fields \mathbbF which are of characteristic different from 2 that any distribution on GL_n+1(\mathbbF) which is invariant under conjugation by GL_n(\mathbbF) is also invariant under transposition. In this paper we give an adaptation of the proof of this theorem to fields of characteristic 2.

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