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$0$-Hecke modules for Young row-strict quasisymmetric Schur functions (2012.12568v1)
Published 23 Dec 2020 in math.RT and math.CO
Abstract: We construct modules of the $0$-Hecke algebra whose images under the quasisymmetric characteristic map are the Young row-strict quasisymmetric Schur functions. This provides a representation-theoretic interpretation of this basis of quasisymmetric functions, answering a question of Mason and Niese (2015). Additionally, we classify when these modules are indecomposable.