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arXiv · 2106.09569

Basic PU(1,1)-representations of the hyperelliptic group are discrete

Felipe A. Franco
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Abstract

We show that a PU(1,1)-representation of the hyperelliptic group $H_{n}$ is basic if and only if it is discrete and faithful, thus partially proving a conjecture by S. Anan'in and E. Bento Gon\c{c}alves in the case of the Poincar\'{e} disc.

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Felipe A. Franco. 2021-06-17. Basic PU(1,1)-representations of the hyperelliptic group are discrete. https://doi.org/10.1007/s10711-022-00678-7

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