A Generalization of the Dual Immaculate Quasisymmetric Functions in Partially Commutative Variables
A Generalization of the Dual Immaculate Quasisymmetric Functions in Partially Commutative Variables
We define a new pair of dual bases that generalize the immaculate and dual immaculate bases to the colored algebras $QSym_A$ and $NSym_A$. The colored dual immaculate functions are defined combinatorially via tableaux, and we present results on their Hopf algebra structure, expansions to and from other bases, and skew …