7 papers
Orbit lengths for promotion on 2-row and near-hook tableaux
Laura Pierson
Promotion has been well-studied for rectangular standard Young tableaux, in which case the orbit lengths divide the total number of boxes and are described by a cyclic sieving phen…
Distinguishability and linear independence for -chromatic symmetric functions
Shao Yuan Lin, Laura Pierson
We study the -chromatic symmetric functions (introduced in (arXiv:2011.06063) as a generalization of the chromatic symmetric function (CSF) ), which track homomorph…
On graphs with equal and different Kromatic symmetric functions
Laura Pierson, Soham Samanta
The Kromatic symmetric function (KSF) of a graph is a -analogue introduced by Crew, Pechenik, and Spirkl in arXiv:2301.02177 of Stanley's chromatic symmetri…
Hopf algebra maps taking chromatic symmetric functions to their graph complements
Shao Yuan Lin, Laura Pierson
Cho and van Willigenburg (arXiv:1508.07670) and Alinaeifard, Wang, and van Willgenburg (arXiv:2010.00147) introduce multiplicative chromatic bases for the ring of symmetric fu…
-analogues of Hivert's divided difference operators
Laura Pierson
Several families of polynomials of combinatorial and representation theoretic interest (notably the Schur polynomials , Demazure characters , and Demazure ato…
A power sum expansion for the Kromatic symmetric function
Laura Pierson
The chromatic symmetric function is a symmetric function generalization of the chromatic polynomial of a graph, introduced by Stanley (1995). Stanley gave an expansion formul…