@article {Assaf.Searles,
    AUTHOR = {Assaf, S. and Searles, D.},
     TITLE = {{K}ohnert polynomials},
        JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {31},
    NUMBER = {1},
      YEAR = {2022},
     PAGES = {93--119},
}



@article {Bardwell.Searles,
    AUTHOR = {Bardwell, J. and Searles, D.},
     TITLE = {$0$-{H}ecke modules for {Y}oung row-strict quasisymmetric {S}chur functions},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
      VOLUME = {102},
    PAGES = {103494},
      YEAR = {2022},
}

@article {Bardwell.Searles:2,
    AUTHOR = {Bardwell, J. and Searles, D.},
     TITLE = {Weak {B}ruhat interval modules of finite-type $0$-Hecke algebras and projective covers},
year = {2023},
eprint = {2311.10068},
}

@article {BBSSZ:dualimmaculate,
    AUTHOR = {Berg, C. and Bergeron, N. and Saliola, F. and Serrano, L. and Zabrocki, M.},
     TITLE = {A lift of the {S}chur and {H}all-{L}ittlewood bases to non-commutative symmetric functions},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {The Canadian Journal of Mathematics},
    VOLUME = {66},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {525--565},
}

@article {BBSSZ:modules,
    AUTHOR = {Berg, C. and Bergeron, N. and Saliola, F. and Serrano, L. and Zabrocki, M.},
     TITLE = {Indecomposable modules for the dual immaculate basis of quasisymmetric functions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {143},
      YEAR = {2015},
    NUMBER = {},
     PAGES = {991--1000},
}



@article {Bjorner.Wachs,
    AUTHOR = {Bj\"orner, A. and Wachs, M. L.},
     TITLE = {Generalized quotients in {C}oxeter groups},
   JOURNAL = {Trans. Amer. Math. Soc.},
       VOLUME = {308},
NUMBER={1},
      YEAR = {1988},
     PAGES = {1--37},
}




@article {CKNO:projective,
    AUTHOR = {Choi, S.-I. and Kim, Y.-H. and Nam, S.-Y. and Oh, Y.-T.},
     TITLE = {The projective cover of tableau-cyclic indecomposable ${H}_n(0)$-modules},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {},
    volume = {375},
    pages = {7747-7782},
    NUMBER = {11},
      YEAR = {2022},
}


@article {CKNO:homological,
    AUTHOR = {Choi, S.-I. and Kim, Y.-H. and Nam, S.-Y. and Oh, Y.-T.},
     TITLE = {Homological properties of $0$-{H}ecke modules for dual immaculate quasisymmetric functions},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {},
   volume = {10},
    NUMBER = {},
    YEAR = {2022},
}

@article {Choi.Kim.Oh:23,
	title = {Poset modules of the $0$-{H}ecke algebras and related quasisymmetric power sum expansions},
    AUTHOR = {Choi, S.-I. and Kim, Y.-H. and Oh, Y.-T.},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
      VOLUME = {120},
    PAGES = {103965},
      YEAR = {2024},
}


@article {Defant.Searles,
    AUTHOR = {Defant, C. and Searles, D.},
     TITLE = {0-{H}ecke {M}odules, {D}omino {T}ableaux, and Type-${B}$ {Q}uasiysmmetric {F}unctions},
     JOURNAL = {Canad. J. Math.},
    VOLUME = {to appear},
      YEAR = {accepted 2024},
    NUMBER = {},
     PAGES = {},
    eprint = {2404.04961}
}




@article {DKLT,
    AUTHOR = {Duchamp, G. and Krob, D. and Leclerc, B. and Thibon, J.-Y.},
     TITLE = {Fonctions quasi-sym\'etriques, fonctions sym\'etriques non-commutatives, et alg\`ebres de {H}ecke \`a $q=0$},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
    VOLUME = {322},
      YEAR = {1996},
    NUMBER = {},
     PAGES = {107--112},
}


@article {Fayers,
    AUTHOR = {Fayers, M},
     TITLE = {$0$-{H}ecke algebras of finite {C}oxeter groups},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {199(1-3)},
      YEAR = {2005},
     PAGES = {27--41},
}




@article {HLMvW11:qs,
    AUTHOR = {Haglund, J. and Luoto, K. and Mason, S. and van Willigenburg,
              S.},
     TITLE = {Quasisymmetric {S}chur functions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {118},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {463--490},
}





@article {Huang,
    AUTHOR = {Huang, J.},
TITLE = {A tableau approach to the representation theory of $0$-{H}ecke algebras},
JOURNAL = {Ann. Comb.},
FJOURNAL = {Annals of Combinatorics},
VOLUME = {20},
YEAR = {2016},
NUMBER = {4},
PAGES = {831--868},
}



@incollection {Jacobson,
    AUTHOR = {Jacobson, N.},
     TITLE = {Basic algebra. {II}.},
    PUBLISHER={W. H. Freeman and Company},
    YEAR={1989},
}



@article {JKLO,
    AUTHOR = {Jung, W.-S. and Kim, Y.-H. and Lee, S.-Y. and Oh, Y.-T.},
     TITLE = {Weak {B}ruhat interval modules of the $0$-{H}ecke algebra},
   JOURNAL = {Math. Z.},
   VOLUME = {301},
     FJOURNAL = {},
      YEAR = {2022},
      PAGES = {3755--3786},
}


@article {Kim.Lee.Oh,
    AUTHOR = {Kim, Y.-H. and Lee, S.-Y. and Oh, Y.-T.},
     TITLE = {Regular {S}chur labeled skew shape posets and their $0$-{H}ecke modules},
     year = {2023},
    eprint = {2310.20571},
}









@ARTICLE{Mason.Niese,
  author = {Mason, S. and Niese, E.},
  title = {Skew row-strict quasisymmetric {S}chur functions},
  journal = {J. Algebraic Combin.},
  year = {2015},
  pages = {1-29},
}



@Article{NSvWVW:rowstrict,
author = {Niese, E. and Sundaram, S. and van Willigenburg, S. and Vega, J. and Wang, S.},
title = {Row-strict dual immaculate functions},
journal = {Adv. in Appl. Math.},
volume={149},
year = {2023},
pages={102540}
}


@Article{NSvWVW:modules,
author = {Niese, E. and Sundaram, S. and van Willigenburg, S. and Vega, J. and Wang, S.},
title = {$0$-{H}ecke modules for row-strict dual immaculate functions},
journal = {Trans. Amer. Math. Soc.},
volume={377},
 number = {4},
year = {2024},
pages={2525--2582}
}



@article {Norton,
title = {$0$-{H}ecke algebras},
author = {Norton, P. N.},
journal = {J. Aust. Math. Soc.},
fjournal = {Journal of the Australian Mathematical Society},
volume = {27},
  number = {3},
year = {1979},
  pages={337--357},
}





@Article{Searles:0Hecke,
author = {Searles, D.},
title = {Indecomposable $0$-{H}ecke modules for extended {S}chur functions},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {148},
year = {2020},
pages = {1933--1943},
}



@article {TvW:1,
    AUTHOR = {Tewari, V. and van Willigenburg, S.},
     TITLE = {Modules of the $0$-{H}ecke algebra and quasisymmetric {S}chur functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {285},
      YEAR = {2015},
    NUMBER = {},
     PAGES = {1025--1065},
}

@article {TvW:2,
    AUTHOR = {Tewari, V. and van Willigenburg, S.},
     TITLE = {Permuted composition tableaux, $0$-{H}ecke algebra and labeled binary trees},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory Series A},
    VOLUME = {161},
      YEAR = {2019},
    NUMBER = {},
     PAGES = {420--452},
}