The split Casimir operator and solutions of the Yang-Baxter equation for the $osp(M|N)$ and $s\ell (M|N)$ Lie superalgebras, higher Casimir operators, and the Vogel parameters

A. P. Isaev, A. A. Provorov

We find the characteristic identities for the split Casimir operator in the defining and adjoint representations of the $osp(M|N)$ and $s\ell (M|N)$ Lie superalgebras. These identit…