Real hyperbolic representations of PU(1,n)

2022/11/04 by Stolowicz, Gonzalo Emiliano Ruiz
#FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2211.02616

Abstract

It is shown that for n bigger than 1, the group of holomorphic isometries of the n dimensional complex hyperbolic space does not admit non-elementary representations into the group of isometries of the infinite dimensional real hyperbolic space.

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