@article {Assaf.Searles:3,
    AUTHOR = {Assaf, S. and Searles, D.},
     TITLE = {{K}ohnert polynomials},
     JOURNAL = {Experiment. Math.},
    VOLUME = {},
    doi={10.1080/10586458.2019.1588180},
      YEAR = {2019},
      publisher = {Taylor & Francis},
     PAGES = {27 pages},
}


@article {BBSSZ:2,
    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.},
   doi={10.4153/CJM-2013-013-0},
  FJOURNAL = {The Canadian Journal of Mathematics},
    VOLUME = {66},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {525--565},
}



@article {BBSSZ,
    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},
    doi={10.1090/S0002-9939-2014-12298-2},
      YEAR = {2015},
    NUMBER = {},
     PAGES = {991--1000},
}



@article {BLvW,
    AUTHOR = {Bessenrodt, C. and Luoto, K. and {van Willigenburg}, S.},
     TITLE = {Skew quasisymmetric {S}chur functions and noncommutative {S}chur functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {226},
    doi={10.1016/j.aim.2010.12.015},
      YEAR = {2011},
    NUMBER = {5},
     PAGES = {4492--4532},
}


@article {Campbell,
    AUTHOR = {Campbell, J.},
     TITLE = {Bipieri tableaux},
   JOURNAL = {Australas. J. Combin.},
  FJOURNAL = {Australasian Journal of Combinatorics},
    VOLUME = {66},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {66--103},
}

@article {CFLSX,
    AUTHOR = {Campbell, J. and Feldman, K. and Light, J. and
              Shuldiner, P. and Xu, Y.},
     TITLE = {A {S}chur-like basis of {NS}ym defined by a {P}ieri
              rule},
   JOURNAL = {Electron. J. Combin.},
   doi={10.37236/3857},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {Paper 3.41, 19},
}



@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 {GKLLRT,
    AUTHOR = {Gelfand, I. and Krob, D. and Lascoux, A. and Leclerc, B. and Retakh, V. and Thibon, J.-Y.},
     TITLE = {Noncommutative symmetric functions},
   JOURNAL = {Adv. Math.},
     FJOURNAL = {Advances in Mathematics},
    VOLUME = {112},
      YEAR = {1995},
    NUMBER = {},
     PAGES = {218--348},
}

@incollection {Gessel,
    AUTHOR = {Gessel, I. M.},
     TITLE = {Multipartite {$P$}-partitions and inner products of skew
              {S}chur functions},
 BOOKTITLE = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)},
    SERIES = {Contemp. Math.},
    doi={10.1090/conm/034/777705},
    VOLUME = {34},
     PAGES = {289--317},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1984},
}


@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},
    doi={10.1016/j.jcta.2009.11.002},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {463--490},
}


@article{Kohnert,
    AUTHOR = {Kohnert, A.},
     TITLE = {Weintrauben, {P}olynome, {T}ableaux},
      NOTE = {Dissertation, Universit\"at Bayreuth, Bayreuth, 1990},
   JOURNAL = {Bayreuth. Math. Schr.},
  FJOURNAL = {Bayreuther Mathematische Schriften},
    NUMBER = {38},
      YEAR = {1991},
     PAGES = {1--97},
}





@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{Searles0Hecke,
author = {Searles, D.},
title = {Indecomposable $0$-{H}ecke modules for extended {S}chur functions,},
journal = {Proc. Amer. Math. Soc.},
doi={10.1090/proc/14879},
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.},
   doi={10.1016/j.aim.2015.08.012},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {285},
      YEAR = {2015},
    NUMBER = {},
     PAGES = {1025--1065},
}