@misc{NSvWVW2022,
    author={Niese, Elizabeth and Sundaram, Sheila and van Willigenburg, Stephanie and Vega, Julianne and Wang, Shiyun},
    EPRINT = {2202.00706},
    EPRINTTYPE = {arxiv},
    TITLE = {Row-strict dual immaculate functions},
    YEAR = {2022}
}

@misc{NSvWVW2022b,
  author={Niese, Elizabeth and Sundaram, Sheila and van Willigenburg, Stephanie and Vega, Julianne and Wang, Shiyun},
  EPRINT = {2202.00708},
  EPRINTTYPE = {arxiv},
  TITLE = {0-{H}ecke modules for row-strict dual immaculate functions},
  YEAR = {2022}
}

EPRINT = {0201.00000},
    EPRINTTYPE = {arxiv},
    TITLE = {Title of the arXiv preprint},
    YEAR = {0002}}

@article {AHM2018,
    AUTHOR = {Allen, Edward E. and Hallam, Joshua and Mason, Sarah K.},
     TITLE = {Dual immaculate quasisymmetric functions expand positively
              into {Y}oung quasisymmetric {S}chur functions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {157},
      YEAR = {2018},
     PAGES = {70--108},
     ISSN = {0097-3165},
   MRCLASS = {05E05},
  MRNUMBER = {3780408},
MRREVIEWER = {Tanja Stojadinovi\'{c}},
       DOI = {10.1016/j.jcta.2018.01.006},
       URL = {https://doi.org/10.1016/j.jcta.2018.01.006},
}


@article{ALvW2021,
  title={Schur functions in noncommuting variables},
  author={Aliniaeifard, Farid and Li, Shu Xiao and van Willigenburg, Stephanie},
  journal={arXiv:2105.09964},
  year={2021}
}

@article{AS2019,
author = {Sami Assaf and Dominic Searles},
title = {Kohnert Polynomials},
fjournal = {Experimental Mathematics},
journal = {Experiment. Math.},
year  = {2022},
volume = {31},
number = {1},
pages = {93--119},
publisher = {Taylor & Francis},
doi = {10.1080/10586458.2019.1588180},
}

@article{BS2021,
title = {0-{H}ecke modules for {Y}oung row-strict quasisymmetric {S}chur functions},
fjournal = {European Journal of Combinatorics},
journal = {European J. Combin.},
volume = {102},
pages = {103494},
year = {2022},
issn = {0195-6698},
doi = {https://doi.org/10.1016/j.ejc.2021.103494},
url = {https://www.sciencedirect.com/science/article/pii/S0195669821001888},
author = {Joshua Bardwell and Dominic Searles},
}

@article {BBSSZ2014,
    AUTHOR = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and
              Serrano, Luis and Zabrocki, Mike},
     TITLE = {A lift of the {S}chur and {H}all-{L}ittlewood bases to
              non-commutative symmetric functions},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'{e}matiques},
    VOLUME = {66},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {525--565},
      ISSN = {0008-414X},
   MRCLASS = {05E05},
  MRNUMBER = {3194160},
MRREVIEWER = {Ang\`ele M. Hamel},
       DOI = {10.4153/CJM-2013-013-0},
       URL = {https://doi.org/10.4153/CJM-2013-013-0},
}

@article {BBSSZ2015, 
    AUTHOR = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and
              Serrano, Luis and Zabrocki, Mike},
     TITLE = {Indecomposable modules for the dual immaculate basis of
              quasi-symmetric functions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {143},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {991--1000},
      ISSN = {0002-9939},
   MRCLASS = {05E05 (20C08)},
  MRNUMBER = {3293717},
MRREVIEWER = {Cathy E. Kriloff},
       DOI = {10.1090/S0002-9939-2014-12298-2},
       URL = {https://doi.org/10.1090/S0002-9939-2014-12298-2},
}


@article {BBSSZ2017,
    AUTHOR = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and
              Serrano, Luis and Zabrocki, Mike},
     TITLE = {Multiplicative structures of the immaculate basis of
              non-commutative symmetric functions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {152},
      YEAR = {2017},
     PAGES = {10--44},
      ISSN = {0097-3165},
   MRCLASS = {05E05},
  MRNUMBER = {3682726},
MRREVIEWER = {Arthur L. B. Yang},
       DOI = {10.1016/j.jcta.2017.05.003},
       URL = {https://doi.org/10.1016/j.jcta.2017.05.003},
}

@incollection {BMSvW2000,
    AUTHOR = {Bergeron, Nantel and Mykytiuk, Stefan and Sottile, Frank and
              van Willigenburg, Stephanie},
     TITLE = {Noncommutative {P}ieri operators on posets},
      NOTE = {In memory of Gian-Carlo Rota},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {91},
      YEAR = {2000},
    NUMBER = {1-2},
     PAGES = {84--110},
      ISSN = {0097-3165},
   MRCLASS = {05E05 (06A11)},
  MRNUMBER = {1779776},
MRREVIEWER = {Markus E. Fulmek},
       DOI = {10.1006/jcta.2000.3090},
       URL = {https://doi.org/10.1006/jcta.2000.3090},
}



@article {BR1987,
    AUTHOR = {Berele, A. and Regev, A.},
     TITLE = {Hook {Y}oung diagrams with applications to combinatorics and
              to representations of {L}ie superalgebras},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {64},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {118--175},
      ISSN = {0001-8708},
   MRCLASS = {20C05 (05A17 17B70 20C35)},
  MRNUMBER = {884183},
MRREVIEWER = {G. D. James},
       DOI = {10.1016/0001-8708(87)90007-7},
       URL = {https://doi.org/10.1016/0001-8708(87)90007-7},
}

@article {BLvW2011,
    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},
      YEAR = {2011},
    NUMBER = {5},
     PAGES = {4492--4532},
      ISSN = {0001-8708},
   MRCLASS = {05E05 (05E15 16T05)},
  MRNUMBER = {2770457},
MRREVIEWER = {Arthur L. B. Yang},
       DOI = {10.1016/j.aim.2010.12.015},
       URL = {https://doi.org/10.1016/j.aim.2010.12.015},
}

@book {BjBrenti2005,
    AUTHOR = {Bj\"{o}rner, Anders and Brenti, Francesco},
     TITLE = {Combinatorics of {C}oxeter groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {231},
 PUBLISHER = {Springer, New York},
      YEAR = {2005},
     PAGES = {xiv+363},
      ISBN = {978-3540-442387; 3-540-44238-3},
   MRCLASS = {05-01 (05E15 20F55)},
  MRNUMBER = {2133266},
MRREVIEWER = {Jian-yi Shi},
}

@article {CFLSX2014,
    AUTHOR = {Campbell, John and Feldman, Karen and Light, Jennifer and
              Shuldiner, Pavel and Xu, Yan},
     TITLE = {A {S}chur-like basis of {$\Nsym$} defined by a {P}ieri
              rule},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {Paper 3.41, 19},
   MRCLASS = {05E05 (05A05 05A17)},
  MRNUMBER = {3262278},
MRREVIEWER = {Carolina Benedetti},
       DOI = {10.37236/3857},
       URL = {https://doi.org/10.37236/3857},
}

@article {DKLT1996,
    AUTHOR = {Duchamp, G\'{e}rard and Krob, Daniel and Leclerc, Bernard and
              Thibon, Jean-Yves},
     TITLE = {Fonctions quasi-sym\'{e}triques, fonctions sym\'{e}triques non
              commutatives et alg\`ebres de {H}ecke \`a {$q=0$}},
   JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'{e}mie des Sciences. S\'{e}rie I.
              Math\'{e}matique},
    VOLUME = {322},
      YEAR = {1996},
    NUMBER = {2},
     PAGES = {107--112},
      ISSN = {0764-4442},
   MRCLASS = {05E05 (20C05)},
  MRNUMBER = {1373744},
}

@article {DvW2020,
    AUTHOR = {Dahlberg, Samantha and van Willigenburg, Stephanie},
     TITLE = {Chromatic symmetric functions in noncommuting variables
              revisited},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {112},
      YEAR = {2020},
     PAGES = {101942, 25},
      ISSN = {0196-8858},
   MRCLASS = {05E05 (05C15 05C25 16T30)},
  MRNUMBER = {4012257},
MRREVIEWER = {Hao Qi},
       DOI = {10.1016/j.aam.2019.101942},
       URL = {https://doi.org/10.1016/j.aam.2019.101942},
}

@article {GKLLRT1995,
    AUTHOR = {Gelfand, Israel M. and Krob, Daniel and Lascoux, Alain and
              Leclerc, Bernard and Retakh, Vladimir S. and Thibon,
              Jean-Yves},
     TITLE = {Noncommutative symmetric functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {112},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {218--348},
      ISSN = {0001-8708},
   MRCLASS = {05E05 (15A15 16W30)},
  MRNUMBER = {1327096},
MRREVIEWER = {Arun Ram},
       DOI = {10.1006/aima.1995.1032},
       URL = {https://doi.org/10.1006/aima.1995.1032},
}

@book {MR1066460,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Reflection groups and {C}oxeter groups},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {29},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1990},
     PAGES = {xii+204},
      ISBN = {0-521-37510-X},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis Solomon},
       DOI = {10.1017/CBO9780511623646},
       URL = {https://doi.org/10.1017/CBO9780511623646},
}

@article {KrobThibon1997,
    AUTHOR = {Krob, Daniel and Thibon, Jean-Yves},
     TITLE = {Noncommutative symmetric functions. {IV}. {Q}uantum linear
              groups and {H}ecke algebras at {$q=0$}},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {6},
      YEAR = {1997},
    NUMBER = {4},
     PAGES = {339--376},
      ISSN = {0925-9899},
   MRCLASS = {05E05 (17B37 20C30)},
  MRNUMBER = {1471894},
MRREVIEWER = {Jian-yi Shi},
       DOI = {10.1023/A:1008673127310},
       URL = {https://doi.org/10.1023/A:1008673127310},
}
@article {LLS2011,
    AUTHOR = {Lam, Thomas and Lauve, Aaron and Sottile, Frank},
     TITLE = {Skew {L}ittlewood-{R}ichardson rules from {H}opf algebras},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2011},
    NUMBER = {6},
     PAGES = {1205--1219},
      ISSN = {1073-7928},
   MRCLASS = {16T05 (05E05)},
  MRNUMBER = {2806503},
MRREVIEWER = {\^{A}ngela Mestre},
       DOI = {10.1093/imrn/rnq104},
       URL = {https://doi.org/10.1093/imrn/rnq104},
}

@book {LMvW2013,
    AUTHOR = {Luoto, Kurt and Mykytiuk, Stefan and van Willigenburg,
              Stephanie},
     TITLE = {An Introduction to Quasisymmetric {S}chur Functions},
    SERIES = {Springer Briefs in Mathematics},
      NOTE = {Hopf algebras, quasisymmetric functions, and Young composition
              tableaux},
 PUBLISHER = {Springer, New York},
      YEAR = {2013},
     PAGES = {xiv+89},
      ISBN = {978-1-4614-7299-5; 978-1-4614-7300-8},
   MRCLASS = {05-02 (05E05)},
  MRNUMBER = {3097867},
MRREVIEWER = {Hugh Ross Thomas},
       DOI = {10.1007/978-1-4614-7300-8},
       URL = {https://doi.org/10.1007/978-1-4614-7300-8},
}

@book {MathasHecke1999,
    AUTHOR = {Mathas, Andrew},
     TITLE = {Iwahori--{H}ecke Algebras and {S}chur Algebras of the Symmetric
              Group},
    SERIES = {University Lecture Series},
    VOLUME = {15},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {1999},
     PAGES = {xiv+188},
      ISBN = {0-8218-1926-7},
   MRCLASS = {20C08 (20C20 20G99)},
  MRNUMBER = {1711316},
MRREVIEWER = {Meinolf Geck},
       DOI = {10.1090/ulect/015},
       URL = {https://doi.org/10.1090/ulect/015},
}

@article {PamelaBromwichNorton1979,
    AUTHOR = {Norton, P. N.},
     TITLE = {{$0$}-{H}ecke algebras},
   JOURNAL = {J. Austral. Math. Soc. Ser. A},
  FJOURNAL = {Australian Mathematical Society. Journal. Series A. Pure
              Mathematics and Statistics},
    VOLUME = {27},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {337--357},
      ISSN = {0263-6115},
   MRCLASS = {16A48 (17B10)},
  MRNUMBER = {532754},
MRREVIEWER = {S. B. Conlon},
}

@book {Jacobson1989,
    AUTHOR = {Jacobson, Nathan},
     TITLE = {Basic algebra. {II}},
   EDITION = {Second},
 PUBLISHER = {W. H. Freeman and Company, New York; Dover reprint},
      YEAR = {1989},
     PAGES = {xviii+686},
      ISBN = {0-7167-1933-9},
   MRCLASS = {00A05 (12-01 15-01 16-01)},
  MRNUMBER = {1009787},
MRREVIEWER = {P. M. Cohn},
}

@article {TvW2015,
    AUTHOR = {Tewari, Vasu V. and van Willigenburg, Stephanie J.},
     TITLE = {Modules of the 0-{H}ecke algebra and quasisymmetric {S}chur
              functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {285},
      YEAR = {2015},
     PAGES = {1025--1065},
      ISSN = {0001-8708},
   MRCLASS = {05E05 (05A05 05A19 05E10 06A07 16T30 20C08 20F55)},
  MRNUMBER = {3406520},
       DOI = {10.1016/j.aim.2015.08.012},
       URL = {https://doi.org/10.1016/j.aim.2015.08.012},
}

@article {TvW2018,
    AUTHOR = {Tewari, Vasu and van Willigenburg, Stephanie},
     TITLE = {Quasisymmetric and noncommutative skew {P}ieri rules},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {100},
      YEAR = {2018},
     PAGES = {101--121},
      ISSN = {0196-8858},
   MRCLASS = {05E05 (05A05 05E10 16T05 16W55 20G05)},
  MRNUMBER = {3835191},
MRREVIEWER = {Allan Berele},
       DOI = {10.1016/j.aam.2018.05.005},
       URL = {https://doi.org/10.1016/j.aam.2018.05.005},
}

@article {S2020,
    AUTHOR = {Searles, Dominic},
     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},
    NUMBER = {5},
     PAGES = {1933--1943},
      ISSN = {0002-9939},
   MRCLASS = {05E05 (05E10 20C08)},
  MRNUMBER = {4078078},
MRREVIEWER = {Domenico Senato},
       DOI = {10.1090/proc/14879},
       URL = {https://doi.org/10.1090/proc/14879},
}


@article {vW2013,
    AUTHOR = {van Willigenburg, Stephanie},
     TITLE = {Noncommutative irreducible characters of the symmetric group
              and noncommutative {S}chur functions},
   JOURNAL = {J. Comb.},
  FJOURNAL = {Journal of Combinatorics},
    VOLUME = {4},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {403--418},
      ISSN = {2156-3527},
   MRCLASS = {05E05 (05E10 20B30 20C30 33D52)},
  MRNUMBER = {3153082},
MRREVIEWER = {Ira Gessel},
       DOI = {10.4310/JOC.2013.v4.n4.a2},
       URL = {https://doi.org/10.4310/JOC.2013.v4.n4.a2},
}