Whittaker Modules for Classical Lie Superalgebras

We classify simple Whittaker modules for classical Lie superalgebras in terms of their parabolic decompositions. establish a type Miličić–Soergel equivalence category and Harish–Chandra bimodules. For I, we reduce the problem composition factors standard to that Verma BGG categories $${\mathcal {O}}$$ . As consequence, series over general linear $$\mathfrak {gl}(m|n)$$ ortho-symplectic {osp}(2|2n)$$ can be computed via Kazhdan–Lusztig combinatorics.