@article{BarekatVanWilligenburg,
author = {Barekat, Farzin and van Willigenburg, Stephanie},
year = {2008},
month = {11},
title = {Composition of transpositions and equality of ribbon {S}chur {$Q$}-functions},
volume = {16},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
doi = {10.37236/199}
}

@article{GLP,
     author = {Gillespie, Maria and Levinson, Jake and Purbhoo, Kevin},
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     publisher = {MathOA foundation},
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     number = {3},
     year = {2020},
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     mrnumber = {4113603},
     language = {en}
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title = {Shifted tableaux and the projective representations of symmetric groups},
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author = {John Stembridge}
}

@InProceedings{Pragacz,
author="Pragacz, Piotr",
title="Algebro--geometric applications of {S}chur {$S$}- and {$Q$}-polynomials",
booktitle="Topics in Invariant Theory",
year="1991",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="130--191",
isbn="978-3-540-47592-7"
}

@phdthesis{Worley,
  author       = {Worley, Dale}, 
  title        = {A theory of shifted Young tableaux},
  school       = {MIT},
  year         = 1984
}

@article{Sagan,
title = {Shifted tableaux, {S}hur {$Q$}-functions, and a conjecture of {R}.~{S}tanley},
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url = {https://www.sciencedirect.com/science/article/pii/0097316587900471}, 
author = {Bruce E Sagan},
}

@article{Haiman,
title = {On mixed insertion, symmetry, and shifted Young tableaux},
fjournal = {Journal of Combinatorial Theory, Series A},
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pages = {196--225},
year = {1989},
issn = {0097-3165},
doi = {https://doi.org/10.1016/0097-3165(89)90015-0},
author = {Mark D Haiman},
}

@article{VanWilligenburg_Schur,
title = {Equality of {S}chur and skew {S}chur functions},
author = {Stephanie van Willigenburg},
year = {2005},
journal = {Ann. Combin.},
volume = {9},
number = {3},
pages = {355--362},
}



@article {GJKK,
    AUTHOR = {Grantcharov, Dimitar and Jung, Ji Hye and Kang, Seok-Jin and
              Kim, Myungho},
     TITLE = {Highest weight modules over quantum queer superalgebra
              {$U_q(\mathfrak{q}(n))$}},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {296},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {827--860},
      ISSN = {0010-3616},
   MRCLASS = {17B37},
  MRNUMBER = {2628823},
MRREVIEWER = {Helena Albuquerque},
       DOI = {10.1007/s00220-009-0962-6}
}

@article {GJKKKss,
    AUTHOR = {Grantcharov, Dimitar and Jung, Ji Hye and Kang, Seok-Jin and
              Kashiwara, Masaki and Kim, Myungho},
     TITLE = {Crystal bases for the quantum queer superalgebra and
              semistandard decomposition tableaux},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {366},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {457--489},
      ISSN = {0002-9947},
   MRCLASS = {17B37 (81R10)},
  MRNUMBER = {3118402},
MRREVIEWER = {Deniz Kus},
       URL = {https://doi.org/10.1090/S0002-9947-2013-05866-7},
}

@article{GJKKK,
author = {Dimitar Grantcharov and Ji Hye Jung and Seok-Jin Kang and Masaki Kashiwara and Myungho Kim},
title = {Quantum queer superalgebra and crystal bases},
volume = {86},
fjournal = {Proceedings of the Japan Academy, Series A, Mathematical Sciences},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
number = {10},
publisher = {The Japan Academy},
pages = {177--182},
keywords = {Crystal bases, odd Kashiwara operators, Quantum queer superalgebra},
year = {2010},
doi = {10.3792/pjaa.86.177}
}


@article{GHPS,
  title={Characterization of queer supercrystals},
  author={M. Gillespie and Graham Hawkes and Wencin Poh and A. Schilling},
  journal={J. Comb. Theory, Ser. A},
  year={2020},
  volume={173},
  pages={105235}
}

@Book{Macdonald,
author = {Macdonald, I. G.},
title = {Symmetric Functions and Hall Polynomials},
publisher = { Clarendon Press; Oxford University Press Oxford, New York},
year = {1979},
language = {English},
subjects = { Abelian groups.; Finite groups.; Hall polynomials.; Symmetric functions. },
life-dates = { 1979 -  },
catalogue-url = { https://nla.gov.au/nla.cat-vn2653038 },
}

% Very minor kerning adjustment to fix .56pt overfull error
@misc{Nguyen,
      title={On the shifted Littlewood--{R}ichardson coefficients\hspace{-.3pt} and \hspace{-.3pt}Littlewood--{R}ichardson coefficients}, 
      author={Khanh Nguyen},
      EPRINT = {2004.01121},
      EPRINTTYPE = {arxiv},
      year={2020}
}

@manual{sagemath,
  Key          = {SageMath},
  Author       = {{The Sage Developers}},
  Title        = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 9.0)},
  Year         = {2020},
}

@article{Schur,
  author = {I. Schur},
  title = {Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen},
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@article{BTvW,
    title={Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon {S}chur functions},
    author={L. Billera and H. Thomas and S. van Willigenburg},
    fjournal={Advances in Mathematics},
    journal = {Adv. Math.},
    year={2004},
    volume={204},
    pages={204--240}
}


@article{Salmasian,
    title={Equality of {S}chur’s {$Q$}-functions and their skew analogues},
    author={Hadi Salmasian},
    fjournal={Annals of Combinatorics},
    journal = {Ann. Combin.},
    year={2006},
    volume={12},
    pages={325--346}
}

@phdthesis{DeWitt,
    title={Identities relating {S}chur {$s$}-functions and {$Q$}-functions},
    author={Elizabeth DeWitt},
    school={University of Michigan},
    year={2012}
}


@article{MvW,
  title={Towards a combinatorial classification of skew {S}chur functions},
  author={Peter R. W. McNamara and Stephanie van Willigenburg},
  journal={Trans.\ Amer.\ Math.\ Soc.},
  year={2006},
  volume={361},
  pages={4437--4470}
}

@article{MvW2,
title = {Positivity results on ribbon Schur function differences},
fjournal = {European Journal of Combinatorics},
journal = {European J. Combin.},
volume = {30},
number = {5},
pages = {1352--1369},
year = {2009},
note = {Part of the Special Issue on Metric Graph Theory},
issn = {0195-6698},
doi = {https://doi.org/10.1016/j.ejc.2008.09.026},
author = {Peter R.W. McNamara and Stephanie van Willigenburg},
}



@article{KWW,
	Author = {King, Ronald C. and Welsh, Trevor A. and van Willigenburg, Stephanie J.},
	Da = {2008/08/01},
	Date-Added = {2021-07-20 14:26:24 -0600},
	Date-Modified = {2021-07-20 14:26:24 -0600},
	Doi = {10.1007/s10801-007-0113-0},
	Id = {King2008},
	Isbn = {1572-9192},
	fJournal = {Journal of Algebraic Combinatorics},
    journal = {J. Algebraic Combin.},
	Number = {1},
	Pages = {139--167},
	Title = {Schur positivity of skew Schur function differences and applications to ribbons and {S}chubert classes},
	Ty = {JOUR},
	Volume = {28},
	Year = {2008}
	}


@article{ReinerEtAl,
title = "Coincidences among skew Schur functions",
abstract = "New sufficient conditions and necessary conditions are developed for two skew diagrams to give rise to the same skew Schur function. The sufficient conditions come from a variety of new operations related to ribbons (also known as border strips or rim hooks). The necessary conditions relate to the extent of overlap among the rows or among the columns of the skew diagram.",
keywords = "Ribbon Schur function, Skew Schur function, Symmetric function, Weyl module",
author = "Victor Reiner and Shaw, {Kristin M.} and {van Willigenburg}, Stephanie",
year = "2007",
month = Dec,
day = "1",
doi = "10.1016/j.aim.2007.05.006",
language = "English (US)",
volume = "216",
pages = "118--152",
fjournal = "Advances in Mathematics",
    journal = {Adv. Math.},
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "1",
}

@article{Christian,
author = {Gutschwager, Christian},
title = {Equality of multiplicity free skew characters},
year = {2009},
publisher = {Kluwer Academic Publishers},
address = {USA},
volume = {30},
number = {2},
doi = {10.1007/s10801-008-0158-8},
journal = {J. Algebraic Comb.},
pages = {215--232},
numpages = {18}
}

@article{Karen,
author = {Yeats, Karen},
doi = {https://doi.org/10.37236/5741},
title = {A {H}opf algebraic approach to {S}chur function identities},
journal = {Electron. J. Combin.},
volume = {24},
issue = {3},
year = {2017}
}


@misc{GLP-geometry,
      title={Schubert curves in the orthogonal {G}rassmannian}, 
      author={Maria Gillespie and Jake Levinson and Kevin Purbhoo},
      year={2019},
      EPRINT = {1903.01673},
    EPRINTTYPE = {arxiv}
}

@misc{GillespieSalois,
      title={Inequality of a class of near-ribbon skew {S}chur {$Q$}-functions}, 
      author={Maria Gillespie and Kyle Salois},
      year={2021},
      EPRINT = {2107.14202},
    EPRINTTYPE = {arxiv}
}