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math.RT2022★ 3 cited
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…
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.RT2019
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…