$0$-Hecke modules for Young row-strict quasisymmetric Schur functions
Representation Theory
2020-12-24 v1 Combinatorics
Abstract
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 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.
Cite
@article{arxiv.2012.12568,
title = {$0$-Hecke modules for Young row-strict quasisymmetric Schur functions},
author = {Joshua Bardwell and Dominic Searles},
journal= {arXiv preprint arXiv:2012.12568},
year = {2020}
}
Comments
22 pages