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@unpublished{AvW,
	Author = {Assaf, Sami and van Willigenburg, Stephanie},
	Note = {preprint},
	Title = {Littlewood--Richardson rules for Demazure characters}}

@misc{Ass-W,
	Author = {Assaf, Sami H.},
	Date-Modified = {2019-05-25 22:57:47 +1000},
	Eprint = {1702.04051},
	Eprinttype = {arxiv},
	Title = {Weak dual equivalence for polynomials},
	Year = {2017}}

@article{Ass15,
	Author = {Assaf, Sami H.},
	Date-Modified = {2019-05-25 22:57:19 +1000},
	Doi = {10.1017/fms.2015.15},
	Fjournal = {Forum of Mathematics. Sigma},
	Journal = {Forum Math. Sigma},
	Pages = {e12, 33 pp},
	Title = {Dual equivalence graphs {I}: {A} new paradigm for {S}chur positivity},
	Volume = {3},
	Year = {2015}}

@article{AQ18,
	Author = {Assaf, Sami and Quijada, Danjoseph},
	Date-Modified = {2019-05-25 22:59:17 +1000},
	Fjournal = {S\'{e}minaire Lotharingien de Combinatoire},
	Journal = {S\'{e}m. Lothar. Combin.},
	Pages = {Art. 78, 12 pp},
	Title = {A {P}ieri rule for key polynomials},
	Url = {https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018/78-Assaf-Quijada.html},
	Volume = {80B \textnormal{(Proceedings of FPSAC'18)}},
	Year = {2018}}

@article{AS17,
	Author = {Assaf, Sami and Searles, Dominic},
	Date-Modified = {2019-05-25 23:00:01 +1000},
	Doi = {10.1016/j.aim.2016.10.015},
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. Math.},
	Pages = {89--122},
	Title = {Schubert polynomials, slide polynomials, {S}tanley symmetric functions and quasi-{Y}amanouchi pipe dreams},
	Volume = {306},
	Year = {2017}}

@article{AS18,
	Author = {Assaf, Sami and Searles, Dominic},
	Date-Modified = {2019-05-25 23:00:34 +1000},
	Doi = {10.1016/j.jcta.2018.01.001},
	Fjournal = {Journal of Combinatorial Theory, Series A},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {85--118},
	Title = {Kohnert tableaux and a lifting of quasi-{S}chur functions},
	Volume = {156},
	Year = {2018}}

@article{BLvW11,
	Author = {Bessenrodt, C. and Luoto, K. and van Willigenburg, S.},
	Date-Modified = {2019-05-25 23:01:07 +1000},
	Doi = {10.1016/j.aim.2010.12.015},
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. Math.},
	Number = {5},
	Pages = {4492--4532},
	Title = {Skew quasisymmetric {S}chur functions and noncommutative {S}chur functions},
	Volume = {226},
	Year = {2011}}

@article{Dem74a,
	Author = {Demazure, Michel},
	Fjournal = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie},
	Journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
	Note = {Collection of articles dedicated to Henri Cartan on the occasion of his 70th birthday, I},
	Pages = {53--88},
	Title = {D\'esingularisation des vari\'et\'es de {S}chubert g\'en\'eralis\'ees},
	Volume = {7},
	Year = {1974}}

@article{Dem74,
	Author = {Demazure, Michel},
	Fjournal = {Bulletin des Sciences Math\'ematiques. 2e S\'erie},
	Journal = {Bull. Sci. Math. (2)},
	Number = {3},
	Pages = {163--172},
	Title = {Une nouvelle formule des caract\`eres},
	Volume = {98},
	Year = {1974}}

@article{EG87,
	Author = {Edelman, Paul and Greene, Curtis},
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. in Math.},
	Number = {1},
	Pages = {42--99},
	Title = {Balanced tableaux},
	Volume = {63},
	Year = {1987}}

@incollection{Ges84,
	Author = {Gessel, Ira M.},
	Booktitle = {Combinatorics and algebra (Boulder, Colo., 1983)},
	Date-Modified = {2019-05-25 23:02:05 +1000},
	Number = {34},
	Pages = {289--317},
	Publisher = {Amer. Math. Soc., Providence, RI},
	Series = {Contemp. Math.},
	Title = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions},
	Year = {1984}}

@article{HLMvW11-2,
	Author = {Haglund, J. and Luoto, K. and Mason, S. and van Willigenburg, S.},
	Date-Modified = {2019-05-25 23:02:55 +1000},
	Doi = {10.1016/j.jcta.2009.11.002},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Journal = {J. Combin. Theory Ser. A},
	Number = {2},
	Pages = {463--490},
	Title = {Quasisymmetric {S}chur functions},
	Volume = {118},
	Year = {2011}}

@article{HLMvW11,
	Author = {Haglund, J. and Luoto, K. and Mason, S. and van Willigenburg, S.},
	Date-Modified = {2019-05-25 23:03:34 +1000},
	Doi = {10.1090/s0002-9947-2010-05244-4},
	Fjournal = {Transactions of the American Mathematical Society},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {3},
	Pages = {1665--1686},
	Title = {Refinements of the {L}ittlewood-{R}ichardson rule},
	Volume = {363},
	Year = {2011}}

@article{Hai92,
	Author = {Haiman, Mark D.},
	Date-Modified = {2019-05-25 23:04:04 +1000},
	Doi = {10.1016/0012-365x(92)90368-p},
	Fjournal = {Discrete Mathematics},
	Journal = {Discrete Math.},
	Number = {1-3},
	Pages = {79--113},
	Title = {Dual equivalence with applications, including a conjecture of {P}roctor},
	Volume = {99},
	Year = {1992}}

@article{Koh91,
	Author = {Kohnert, Axel},
	Fjournal = {Bayreuther Mathematische Schriften},
	Journal = {Bayreuth. Math. Schr.},
	Note = {Dissertation, Universit{\"a}t Bayreuth, Bayreuth, 1990},
	Number = {38},
	Pages = {1--97},
	Title = {Weintrauben, {P}olynome, {T}ableaux},
	Year = {1991}}

@article{LS82,
	Author = {Lascoux, Alain and Sch{\"u}tzenberger, Marcel-Paul},
	Fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique},
	Journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
	Number = {13},
	Pages = {447--450},
	Title = {Polyn\^omes de {S}chubert},
	Volume = {294},
	Year = {1982}}

@incollection{LS90,
	Author = {Lascoux, Alain and Sch{\"u}tzenberger, Marcel-Paul},
	Booktitle = {Invariant Theory and Tableaux ({M}inneapolis, {MN}, 1988)},
	Date-Modified = {2019-05-25 23:04:29 +1000},
	Number = {19},
	Pages = {125--144},
	Publisher = {Springer, New York},
	Series = {IMA Vol. Math. Appl.},
	Title = {Keys \& standard bases},
	Year = {1990}}

@article{LR34,
	Author = {Littlewood, D. E. and Richardson, A. R.},
	Date-Modified = {2019-05-25 23:05:18 +1000},
	Doi = {10.1098/rsta.1934.0015},
	Fjournal = {Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences},
	Journal = {Philos. Trans. Roy. Soc. London. Ser. A.},
	Pages = {99--141},
	Title = {Group characters and algebra},
	Volume = {233},
	Year = {1934}}

@incollection{Mac91,
	Author = {Macdonald, I. G.},
	Publisher = {LACIM, Univ. Quebec a Montreal, Montreal, PQ},
	Title = {Notes on {S}chubert polynomials},
	Year = {1991}}

@article{Mas09,
	Author = {Mason, Sarah},
	Date-Modified = {2019-05-25 23:05:45 +1000},
	Doi = {10.1007/s10801-008-0133-4},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Journal = {J. Algebraic Combin.},
	Number = {3},
	Pages = {295--313},
	Title = {An explicit construction of type {A} {D}emazure atoms},
	Volume = {29},
	Year = {2009}}

@article{RS95,
	Author = {Reiner, Victor and Shimozono, Mark},
	Date-Modified = {2019-05-25 23:06:11 +1000},
	Doi = {10.1016/0097-3165(95)90083-7},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Journal = {J. Combin. Theory Ser. A},
	Number = {1},
	Pages = {107--143},
	Title = {Key polynomials and a flagged {L}ittlewood-{R}ichardson rule},
	Volume = {70},
	Year = {1995}}

@article{Rob38,
	Author = {Robinson, G. de B.},
	Coden = {AJMAAN},
	Doi = {10.2307/2371609},
	Fjournal = {American Journal of Mathematics},
	Issn = {0002-9327},
	Journal = {Amer. J. Math.},
	Mrclass = {Contributed Item},
	Mrnumber = {1507943},
	Number = {3},
	Pages = {745--760},
	Title = {On the {R}epresentations of the {S}ymmetric {G}roup},
	Volume = {60},
	Year = {1938},
	Bdsk-Url-1 = {https://doi.org/10.2307/2371609}}