论文标题

Quaternionic Cartan连锁的刚性,计数和等分

Rigidity, counting and equidistribution of quaternionic Cartan chains

论文作者

Parkkonen, Jouni, Paulin, Frédéric

论文摘要

我们证明了卡坦定理的类似物,说Quaternionic双曲空间边界的链条传播转换是投射转换。我们给出了Quaternionic Heisenberg Group中算术链轨道的计数和等分分配结果。

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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