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math.RT2020
-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…
math.CO2020
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…