Molien series and low-degree invariants for a natural action of $\mathbf{SO}(3)\wr {\mathbf{Z}}_2$

David Chillingworth, Reiner Lauterbach, Stefano Turzi

We investigate the invariants of the $25$-dimensional real representation of the group $\mathbf{SO}(3)\wr {\mathbf{Z}}_2$ given by the left and right actions of $\mathbf{SO}(3)$ on $5\times 5$…