3 papers
math.CO2025
A Combinatorial Perspective on the Noncommutative Symmetric Functions
Angela Hicks, Robert McCloskey
The noncommutative symmetric functions were first defined abstractly by Gelfand et al. in 1995 as the free associative algebra generated by noncommuting indetermina…
math.CO2024
Quasisymmetric divided difference operators and polynomial bases
Angela Hicks, Elizabeth Niese
The key polynomials, the Demazure atoms, the Schubert polynomials, and even the Schur functions can be defined using divided difference operator. In 2000, Hivert introduced a quasi…
math.CO2024
Three Examples of Quasisymmetric Compatible -modules
Angela Hicks, Samantha Miller-Brown
The Schur functions, a basis for the symmetric polynomials (Sym), encode the irreducible representations of the symmetric group, , via the Frobenius characteristic…