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Rigidity, counting and equidistribution of quaternionic Cartan chains (2002.05130v1)
Published 12 Feb 2020 in math.NT, math.DG, and math.GR
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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