We classify simple Whittaker modules for classical Lie superalgebras in terms of their
parabolic decompositions. We establish a type of Miličić–Soergel equivalence of a category …

We study various categories of Whittaker modules over a type I Lie superalgebra realized as
cokernel categories that fit into the framework of properly stratified categories. These …

We study tilting and projective‐injective modules in a parabolic BGG category O for an
arbitrary classical Lie superalgebra. We establish a version of Ringel duality for this type of …

We show that, for an arbitrary finite-dimensional quasi-reductive Lie superalgebra over
${\mathbb {C}} $ with a triangular decomposition and a character $\zeta $ of the nilpotent …

We study the classical problem of Kostant for Whittaker modules over Lie algebras and Lie
superalgebras. We give a sufficient condition for a positive answer to Kostant's problem for …

We solve two problems in representation theory for the periplectic Lie superalgebra for all
(not just simple or basic) classical Lie superalgebras and a category of Harish-Chandra …

We extend Kostant's result on annihilator ideals of non-singular simple Whittaker modules
over Lie algebras to (possibly singular) simple Whittaker modules over Lie superalgebras …

This is a survey of some recent developments in the highest weight repesentation theory of
the general linear Lie superalgebra 𝔤 𝔩 n| m (ℂ) gl _ n | m (C). The main focus is on the …

Abstract We prove Conjecture 5.7 in Coulembier and Musson (Math. J., arXiv: 1409.2532),
describing all inclusions between primitive ideals for the general linear superalgebra in …

The main focus of this paper is Bott–Borel–Weil (BBW) theory for basic classical Lie
superalgebras. We take a purely algebraic self-contained approach to the problem. A new …