5 papers · 1 filter
Equivalence classes of lower and upper descent weak Bruhat intervals
Seung-Il Choi, Sun-Young Nam, Young-Tak Oh
Let denote the set of nonempty left weak Bruhat intervals in the symmetric group . We investigate the equivalence relation o…
Quasisymmetric Schur -functions and peak Young quasisymmetric Schur functions
Seung-Il Choi, Sun-Young Nam, Young-Tak Oh
In this paper, we explore the relationship between quasisymmetric Schur -functions and peak Young quasisymmetric Schur functions. We introduce a bijection on …
An analogue of chromatic bases and -positivity of skew Schur -functions
Soojin Cho, JiSun Huh, Sun-Young Nam
We investigate chromatic symmetric functions in the relation to the algebra of symmetric functions generated by Schur -functions. We construct natural bases of in terms…
Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
JiSun Huh, Sun-Young Nam, Meesue Yoo
In this work, we generalize and utilize the linear relations of LLT polynomials introduced by Lee \cite{Lee}. By using the fact that the chromatic quasisymmetric functions and the…
Shifted tableau switchings and shifted Littlewood-Richardson coefficients
Seung-Il Choi, Sun-Young Nam, Young-Tak Oh
We provide two shifted analogues of the tableau switching process due to Benkart, Sottile, and Stroomer, the shifted tableau switching process and the modified shifted tableau swit…