The history of quasisymmetric functions begins in 1972 with the thesis of Richard Stanley,
followed by the formal definition of the Hopf algebra of quasisymmetric functions in 1984 by …

We begin by deriving an action of the 0-Hecke algebra on standard reverse composition
tableaux and use it to discover 0-Hecke modules whose quasisymmetric characteristics are …

We describe a combinatorial formula for the coefficients when the dual immaculate
quasisymmetric functions are decomposed into Young quasisymmetric Schur functions. We …

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 …

The generalized quantum group U (ϵ) of type A is an affine analogue of quantum group
associated to a general linear Lie superalgebra gl M| N. We prove that there exists a unique …

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 …

We extend a classical construction on symmetric functions, the superization process, to
several combinatorial Hopf algebras, and obtain analogs of the hook-content formula for the …

Abstract In 2015, Jing and Li defined type B quasisymmetric Schur functions and
conjectured that these functions have a positive, integral and unitriangular expansion into …

We investigate the rigidity for the Hopf algebra ${\rm QSym} $ of quasisymmetric functions
with respect to the monomial, the fundamental and the quasisymmetric Schur basis …

We introduce a quasisymmetric generalization of Berele and Regev's hook Schur functions
and prove that these new quasisymmetric hook Schur functions decompose the hook Schur …