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arXiv · 2012.12568

$0$-Hecke modules for Young row-strict quasisymmetric Schur functions

Joshua Bardwell·Dominic Searles
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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.

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Joshua Bardwell, Dominic Searles. 2020-12-23. $0$-Hecke modules for Young row-strict quasisymmetric Schur functions. https://arxiv.org/abs/2012.12568

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