We develop axiomatics of highest weight categories and quasi-hereditary algebras in order
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …

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 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 …

We prove that the tensor product of a simple and a finite dimensional sl _n sl n-module has
finite type socle. This is applied to reduce classification of simple q (n) q (n)-supermodules to …

Suppose $\mathfrak {g}=\mathfrak {g} _ {\bar 0}+\mathfrak {g} _ {\bar 1} is a Lie superalgebra
of queer type or periplectic type over an algebraically closed field $\textbf {k} $ of …

We develop axiomatics of highest weight categories and quasi-hereditary algebras in order
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …