Hyperbolic kernels for \(n = 8\) with dimension five (Q2156399)

This short note consists of a table and the explanation for the entries in that table. The entries of the table are permutations, which are connected to hyperbolic kernels, which were defined in the author's [Mitt. Math. Ges. Hamb. 40, 41--61 (2020; Zbl 1459.51007)]. For dimension \(n = 8\), the hyperbolic kernels are bodies in five-dimensional spaces and can be described by special permutations of order \(8\). These consist of \(8\) symmetric and \(8\) non-symmetric permutations, which are the subject of the table and thus of this note. They provide a description of the structure of the corresponding hyperbolic kernels.