Norm computation and analytic continuation of vector valued holomorphic discrete series representations

2015/06/19 by Ryosuke Nakahama, Nakahama, Ryosuke
Mathematics · #17C30 #22E45 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17C30 #msc:22E45

paper · pdf · doi:10.48550/arxiv.1506.05919

59 pages

arxiv created 2015/06/19 · arxiv updated 2015/06/22

Abstract

In this paper we compute explicitly the norm of the vector-valued holomorphic discrete series representations, when its K-type is "almost multiplicity-free." As an application, we discuss the properties of highest weight modules, such as unitarizability, reducibility and composition series.

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