We use super q–Howe duality to provide diagrammatic presentations of an idempotented
form of the Hecke algebra and of categories of gl N–modules (and, more generally, gl N| M …

We define a ribbon category Sp (β), depending on a parameter β, which encompasses
Cautis, Kamnitzer and Morrison's spider category, and describes for β= m− n the monoidal …

Crystal bases of parabolic Verma modules over the quantum orthosymplectic
superalgebras - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

We extend the construction of the regular (matrix) representation for the quantum linear
supergroups U= U (glm| n) developed in [Proc. Amer. Math. Soc., 148 (2020), 111-124] to …

We construct a crystal base of U q (gl (m| n))−, the negative half of the quantum
superalgebra U q (gl (m| n)). We give a combinatorial description of the associated crystal B …

We initiate the study of several distinguished bases for the positive half of a quantum
supergroup Uq associated to a general super Cartan datum. I;.;//of basic type inside a …

We construct a crystal basis for the negative half of the quantum group U associated to the
standard super Cartan datum of gl (m| 1), which is compatible with known crystals on Kac …

Let i be a reduced expression of the longest element in the Weyl group of type A, which is
adapted to a Dynkin quiver with a single sink. We present a simple description of the crystal …

We construct a crystal base of $ U_q (\mathfrak {gl}(m| n))^-$, the negative half of the
quantum superalgebra $ U_q (\mathfrak {gl}(m| n)) $. We give a combinatorial description of …

We give a realization of the level zero fundamental representations W (ϖ k) of the quantum
affine algebra U q′(g), when g has a maximal parabolic subalgebra of type C n. We define …