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@misc{HLLY,
	author = {Halacheva, I. and Licata, T. and Losev, I. and Yacobi, O.},
	date-added = {2021-11-17 16:34:54 +1100},
	date-modified = {2021-11-17 16:47:13 +1100},
	eprint = {2101.05931},
	eprinttype = {arxiv},
	title = {Categorical braid group actions and cactus groups},
	year = {2021},
}

@article{berenstein,
	author = {Berenstein, A. and Zelevinsky, A.},
	doi = {10.1215/S0012-7094-96-08221-6},
	fjournal = {Duke Mathematical Journal},
	issn = {0012-7094},
	journal = {Duke Math. J.},
	number = {3},
	pages = {473--502},
	title = {Canonical bases for the quantum group of type {$A_r$} and piecewise-linear combinatorics},
	volume = {82},
	year = {1996},
}

@article{stembridge,
	author = {Stembridge, J. R.},
	doi = {10.1215/S0012-7094-96-08224-1},
	fjournal = {Duke Mathematical Journal},
	journal = {Duke Math. J.},
	number = {3},
	pages = {585--606},
	title = {Canonical bases and self-evacuating tableaux},
	volume = {82},
	year = {1996},
}

@article{kl,
	author = {Kazhdan, D. and Lusztig, G.},
	doi = {10.1007/BF01390031},
	fjournal = {Inventiones Mathematicae},
	journal = {Invent. Math.},
	number = {2},
	pages = {165--184},
	title = {Representations of Coxeter groups and Hecke algebras},
	volume = {53},
	year = {1979},
}

@article{magma,
	author = {Bosma, W. and Cannon, J. and Playoust, C.},
	doi = {10.1006/jsco.1996.0125},
	fjournal = {Journal of Symbolic Computation},
	journal = {J. Symbolic Comput.},
	note = {Computational algebra and number theory (London, 1993)},
	number = {3-4},
	pages = {235--265},
	title = {The {M}agma algebra system. {I}. {T}he user language},
	volume = {24},
	year = {1997},
}

@article{rhoades,
	author = {Rhoades, B.},
	doi = {10.1016/j.jcta.2009.03.017},
	fjournal = {Journal of Combinatorial Theory. Series A},
	journal = {J. Combin. Theory Ser. A},
	number = {1},
	pages = {38--76},
	title = {Cyclic sieving, promotion, and representation theory},
	volume = {117},
	year = {2010},
}

@incollection{sagan,
	author = {Sagan, B. E.},
	booktitle = {Surveys in Combinatorics 2011},
	pages = {183--233},
	publisher = {Cambridge Univ. Press, Cambridge},
	series = {London Math. Soc. Lecture Note Ser.},
	title = {The cyclic sieving phenomenon: a survey},
	volume = {392},
	year = {2011},
}

@book{bjorner,
	author = {Bjorner, A. and Brenti, F.},
	publisher = {Springer Berlin Heidelberg},
	series = {Graduate Texts in Mathematics},
	title = {Combinatorics of Coxeter Groups},
	url = {https://books.google.com.au/books?id=1TBPz5sd8m0C},
	year = {2006},
	Bdsk-Url-1 = {https://books.google.com.au/books?id=1TBPz5sd8m0C},
}
	
@article{rush,
	title = {Restriction of global bases and Rhoades's theorem},
	journal = {Advances in Mathematics},
	volume = {384},
	pages = {107725},
	year = {2021},
	doi = {https://doi.org/10.1016/j.aim.2021.107725},
	author = {Rush, D. B.},
	keywords = {Global bases, Canonical bases, Promotion, Cyclic sieving, Rectangular tableaux},
}

@article {knuth,
	author = {Knuth, D. E.},
	title = {Permutations, matrices, and generalized {Y}oung tableaux},
	journal = {Pacific J. Math.},
	fjournal = {Pacific Journal of Mathematics},
	volume = {34},
	year = {1970},
	pages = {709--727},
	url = {http://projecteuclid.org.ezproxy.library.sydney.edu.au/euclid.pjm/1102971948},
}

@book {separable,
	author = {Kitaev, S.},
	title = {Patterns in permutations and words},
	series = {Monographs in Theoretical Computer Science. An EATCS Series},
	note = {With a foreword by Jeffrey B. Remmel},
	publisher = {Springer, Heidelberg},
	year = {2011},
	pages = {xxii+494},
	doi = {10.1007/978-3-642-17333-2},
}