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. (C)& nbsp;2021 Elsevier Ltd. All rights reserved.