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arXiv · 2002.05130

Rigidity, counting and equidistribution of quaternionic Cartan chains

Jouni Parkkonen·Frédéric Paulin
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Abstract

We prove an analog of Cartan's theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and equidistribution result for the orbits of arithmetic chains in the quaternionic Heisenberg group.

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Jouni Parkkonen, Frédéric Paulin. 2020-02-12. Rigidity, counting and equidistribution of quaternionic Cartan chains. https://arxiv.org/abs/2002.05130

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