5 papers
The "Young" and "reverse" dichotomy of polynomials
S. Mason, D. Searles
A "flip-and-reversal" involution arising in the study of quasisymmetric Schur functions provides a passage between what we term "Young" and "reverse" variants of bases of polynomia…
-Hecke modules for Young row-strict quasisymmetric Schur functions
Joshua Bardwell, Dominic Searles
We construct modules of the -Hecke algebra whose images under the quasisymmetric characteristic map are the Young row-strict quasisymmetric Schur functions. This provides a repr…
Lifting the dual immaculate functions
Sarah Mason, Dominic Searles
We introduce two lifts of the dual immaculate quasisymmetric functions to the polynomial ring. We establish positive formulas for expansions of these dual immaculate slide polynomi…
Indecomposable -Hecke modules for extended Schur functions
Dominic Searles
The extended Schur functions form a basis of quasisymmetric functions that contains the Schur functions. We provide a representation-theoretic interpretation of this basis by const…
Polynomials from combinatorial -theory
Cara Monical, Oliver Pechenik, Dominic Searles
We introduce two new bases of the ring of polynomials and study their relations to known bases. The first basis is the quasiLascoux basis, which is simultaneously both a -theore…