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arXiv:2012.12568 [math.RT]AbstractReferencesReviewsResources

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

Joshua Bardwell, Dominic Searles

Published 2020-12-23Version 1

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.

Comments: 22 pages
Categories: math.RT, math.CO
Subjects: 05E05, 20C08, 05E10
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