We prove odd analogs of results of Chuang and Rouquier on sl (2)-categorification.
Combined also with recent work of the second author with Livesey, this allows us to …

In this paper, we investigate the supercategories consisting of supermodules over quiver
Hecke superalgebras and cyclotomic quiver Hecke superalgebras. We prove that these …

We show that actions of the odd categorification of sl (2) induce derived superequivalences
analogous to those introduced by Chuang and Rouquier. Using Kang, Kashiwara, and Oh's …

We de ne a-category that categori es the covering Kac–Moody algebra for sl2 introduced by
Clark and Wang. is categori cation forms the structure of a super--category as formulated by …

Super Kac–Moody 2‐categories - Brundan - 2017 - Proceedings of the London
Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …

We define a supercategorification of the $ q $-Schur algebra of level two and an odd
analogue of $\mathfrak {gl} _2 $-foams. Using these constructions, we define a homological …

We formulate and classify super Satake diagrams under a mild assumption, building on
arbitrary Dynkin diagrams for finite-dimensional basic Lie superalgebras. We develop a …

We construct quantum supersymmetric pairs (U, U ı) of type AIII and elucidate their
fundamental properties. An ıSchur duality between the ıquantum supergroup U ı and the …

We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction
for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link …

We establish direct connections at several levels between quantum groups and
supergroups associated to bar-consistent anisotropic super Cartan datum by constructing an …