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- W4386876340 abstract "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 functions. This includes a combinatorial method for expanding the colored fundamental quasisymmetric functions into the colored dual immaculate basis that specializes to a new analogous result in the uncolored case. For the colored immaculate functions, defined using creation operators, we study expansions to and from other bases and provide a right Pieri rule. We use the same methods to define colored generalizations of the row-strict immaculate and row-strict dual immaculate functions with similar results." @default.
- W4386876340 created "2023-09-20" @default.
- W4386876340 creator A5031763229 @default.
- W4386876340 date "2023-09-15" @default.
- W4386876340 modified "2023-09-27" @default.
- W4386876340 title "A Generalization of the Dual Immaculate Quasisymmetric Functions in Partially Commutative Variables" @default.
- W4386876340 doi "https://doi.org/10.48550/arxiv.2309.08518" @default.
- W4386876340 hasPublicationYear "2023" @default.
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