Dimensions of some locally analytic representations

2014/09/29 by Tobias Schmidt, Schmidt, Tobias, Matthias Strauch +1
Mathematics · #17B10 #17B35 #20G25 #22E50 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:17B35 #msc:20G25 #msc:22E50

paper · pdf · doi:10.48550/arxiv.1409.7998

arxiv created 2014/09/29 · arxiv updated 2014/09/30

Abstract

Let G be the group of points of a split reductive group over a finite extension of \mathbb Q_p. In this paper, we compute the dimensions of certain classes of locally analytic G-representations. This includes principal series representations and certain representations coming from homogeneous line bundles on p-adic symmetric spaces. As an application, we compute the dimensions in Colmez' unitary principal series of \rm GL₂(\mathbb Q_p).

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