2 problems

Let $\frak{g}$ be a basic classical Lie superalgebra, and consider the Duflo–Serganova functors $DS_x$ on $\frak{g}$-modules. A module is semisimple if it is a direct sum of simple…

Let $\mathfrak{g}$ be a type I Lie superalgebra, let $u\neq 0$ satisfy $[u,u]=0$, and let $\mathbb{O}\subseteq\widetilde{G_u}$ be the purely odd supergroup with Lie superalgebra…