Fractional Divisibility of Spheres with Partially Generic Sets of Rotations

Jan Grebík, Christian Ikenmeyer, Oleg Pikhurko

We say that an r-tuple $(g_1,...,g_r)$ of special orthogonal $d\times d$ matrices fractionally divides the $(d-1)$-dimensional sphere $S$ if there is a non-constant function in $L^…