42 citations · 103 across the 14 of their papers we have counts for
17 papers
Diagram supermodules for -Hecke-Clifford algebras
Dominic Searles
We introduce a general method for constructing modules for -Hecke algebras and supermodules for -Hecke-Clifford algebras from diagrams of boxes in the plane, and give formula…
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…
Asymmetric function theory
Oliver Pechenik, Dominic Searles
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry. M…