Involution and commutator length for complex hyperbolic isometries

2016/04/07 by Paupert, Julien, Will, Pierre · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1604.02159

Abstract

We study decompositions of complex hyperbolic isometries as products of involutions. We show that PU(2,1) has involution length 4 and commutator length 1, and that for all n \geqslant 3 PU(n,1) has involution length at most 8.

Cited by

• Horn's problem in PU(n,1)

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