Semisimplicity of the $DS$ functor for the orthosymplectic Lie superalgebra

Maria Gorelik, Thorsten Heidersdorf

We prove that the Duflo-Serganova functor $D{S}_x$ attached to an odd nilpotent element $x$ of $\mathfrak{osp}(m|2n)$ is semisimple, i.e. sends a semisimple representation $M$ of $\m…