Geodesic
Quaternionic hyperbolic lattices of minimal covolume
Forum of Mathematics, Sigma, Tome 10 (2022)

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For any $n>1$ we determine the uniform and nonuniform lattices of the smallest covolume in the Lie group $\operatorname {\mathrm {Sp}}(n,1)$. We explicitly describe them in terms of the ring of Hurwitz integers in the nonuniform case with n even, respectively, of the icosian ring in the uniform case for all $n>1$. 
@article{10_1017_fms_2022_43,
     author = {Vincent Emery and Inkang Kim},
     title = {Quaternionic hyperbolic lattices of minimal covolume},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {10},
     year = {2022},
     doi = {10.1017/fms.2022.43},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2022.43/}
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Vincent Emery; Inkang Kim. Quaternionic hyperbolic lattices of minimal covolume. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.43

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