Parabolic category ${\mathcal{O}}^{\mathfrak{p}}$ for periplectic Lie superalgebras $\mathfrak{pe}(n)$

Chih-Whi Chen, Yung-Ning Peng

We provide a linkage principle in an arbitrary parabolic category ${\mathcal{O}}^{\mathfrak{p}}$ for the periplectic Lie superalgebras $\mathfrak{pe}(n)$. As an application, we classif…