We provide a characterization of the crystal bases for the quantum queer superalgebra
recently introduced by Grantcharov et al. This characterization is a combination of local …

We give a new combinatorial interpretation of Howe dual pairs of the form (g, Sp 2 ℓ), where
g is a Lie (super) algebra of classical type. This is done by establishing a symplectic …

In this paper, we introduce the Harish-Chandra homomorphism for the quantum
superalgebra U q (g) associated with a simple basic Lie superalgebra g and give an explicit …

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

We give a new formula for the branching rule from GL n to O n generalizing the Littlewood's
restriction formula. The formula is given in terms of Littlewood-Richardson tableaux with …

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 introduce a semisimple tensor category of modules over a quantum ortho-symplectic
superalgebra. It is a natural counterpart of the category of finitely dominated integrable …

We give new combinatorial formulas for decomposition of the tensor product of integrable
highest weight modules over the classical Lie algebras of types $ B, C, D $, and the …

We provide an explicit combinatorial description of the embedding of the crystal of
Kashiwara–Nakashima tableaux in types B and C into that of i-Lusztig data associated to a …

We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type D of
an arbitrary shape into that of i-Lusztig data associated to a family of reduced expressions i …