3 citations · 5 across the 8 of their papers we have counts for
9 papers
Contractions and applications of crystal skeletons: Young quasisymmetric and Stanley symmetric functions
Sarah Brauner, Zajj Daugherty, Sarah Mason +1
The character of a connected -crystal is a Schur polynomial; the crystal can be further decomposed into quasicrystals, whose characters are the Gessel quasisymmetr…
A new proof of an Eğecioğlu--Remmel inverse Kostka matrix problem via a Garsia--Milne involution involving Sym and NSym
Edward E. Allen, Kyle Celano, Sarah K. Mason
Eğecioğlu and Remmel provide a combinatorial proof (using special rim hook tableaux) that the product of the Kostka matrix and its inverse equals the identity matrix $…
A classification of nonzero skew immaculate functions
Sarah Mason, Jack Xie
This article presents conditions under which the skewed version of immaculate noncommutative symmetric functions are nonzero. The work is motivated by the quest to determine when t…
A combinatorial interpretation of the noncommutative inverse Kostka matrix
Edward E Allen, Sarah K Mason
We provide a combinatorial formula for the expansion of immaculate noncommutative symmetric functions into complete homogeneous noncommutative symmetric functions. To do this, we i…
Recent Trends in Quasisymmetric Functions
Sarah K. Mason
This article serves as an introduction to several recent developments in the study of quasisymmetric functions. The focus of this survey is on connections between quasisymmetric fu…
Quasisymmetric (k,l)-hook Schur functions
Sarah K Mason, Elizabeth Niese
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 functi…
Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
Edward E. Allen, Joshua Hallam, Sarah K. Mason
We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric functions are decomposed into Young quasisymmetric Schur functions. We prove this u…
Row-strict quasisymmetric Schur functions
Sarah Mason, Jeffrey Remmel
Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the quasisymmetric Schur function basis, generated combinatorially through fillin…
QSym over Sym has a stable basis
Aaron Lauve, Sarah Mason
We prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenauer to be a basis for the coinvariant space of quasisymmetric polynomials is indeed a basi…