@misc{AlexanderssonPfannererRubeyUhlin2020x,
Author = {Alexandersson, P. and Pfannerer, S. and Rubey, M. and Uhlin, J.},
Title = {Skew characters and cyclic sieving},
Year = {2020},
EPRINTTYPE = {arxiv},
Eprint = {2004.01140}
}


@article{AlexanderssonUhlin2020,
     author = {Alexandersson, P. and Joakim, U.},
     title = {Cyclic sieving, skew Macdonald polynomials and {S}chur positivity},
     journal = {Algebraic Combinatorics},
     publisher = {MathOA foundation},
     volume = {3},
     number = {4},
     year = {2020},
     pages = {913-939},
     doi = {10.5802/alco.123},
}

@article{AlexanderssonAmini2018,
Author = {Alexandersson, P. and Amini, N.},
Title = {The Cone of Cyclic Sieving Phenomena},
Year = {2019},
journal = {Discrete Mathematics},
volume = {342},
number = {6},
pages = {1581--1601},
issn2 = {0012-365X},
doi = {10.1016/j.disc.2019.01.037},
url2 = {http://www.sciencedirect.com/science/article/pii/S0012365X19300482}
}

@article{BarceloReinerStanton2008,
  doi = {10.1112/jlms/jdn004},
  url2 = {https://doi.org/10.1112/jlms/jdn004},
  year = {2008},
  month = mar,
  publisher = {Wiley},
  volume = {77},
  number = {3},
  pages = {627--646},
  author = {Barcelo, H. and Reiner, V. and Stanton, D.},
  title = {Bimahonian distributions},
  journal = {Journal of the London Mathematical Society}
}

@article{BennettMadillStokke2014,
  doi = {10.1016/j.disc.2013.11.024},
  url2 = {https://doi.org/10.1016/j.disc.2013.11.024},
  year = {2014},
  month = mar,
  publisher = {Elsevier {BV}},
  volume = {319},
  pages = {62--67},
  author = {Bennett, M. and Madill, B. and Stokke, A.},
  title = {Jeu-de-taquin promotion and a cyclic sieving phenomenon for semistandard hook tableaux},
  journal = {Discrete Mathematics}
}

@article{Brauer1941,
    AUTHOR = {Brauer, R.},
     TITLE = {On the connection between the ordinary and the modular
              characters of groups of finite order},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {42},
      YEAR = {1941},
     PAGES = {926--935},
      ISSN2 = {0003-486X},
   MRCLASS = {20.0X},
  MRNUMBER = {5732},
MRREVIEWER = {G. de B. Robinson},
       DOI = {10.2307/1968774},
       URL2 = {https://doi.org/10.2307/1968774}
}

@article{FominLulov1997,
  doi = {10.1007/bf02355806},
  url2 = {https://doi.org/10.1007/bf02355806},
  year  = {1997},
  month = dec,
  publisher = {Springer Nature},
  volume = {87},
  number = {6},
  pages = {4118--4123},
  author = {Fomin, S. and Lulov, N.},
  title = {On the number of rim hook tableaux},
  journal = {Journal of Mathematical Sciences (New York)}
}

@article{FontaineKamnitzer2013,
  doi = {10.1007/s00029-013-0144-4},
  url2 = {https://doi.org/10.1007/s00029-013-0144-4},
  year  = {2013},
  month = nov,
  publisher = {Springer Nature},
  volume = {20},
  number = {2},
  pages = {609--625},
  author = {Fontaine, B. and Kamnitzer, J.},
  title = {Cyclic sieving,  rotation,  and geometric representation theory},
  journal = {Selecta Mathematica}
}

@book{JamesKerber1984,
  doi = {10.1017/cbo9781107340732},
  url2 = {https://doi.org/10.1017/cbo9781107340732},
  year = {1984},
  publisher = {Cambridge University Press},
  author = {James, G. and Kerber, A.},
  title = {The Representation Theory of the Symmetric Group}
}


@article{Kovacs1982,
    AUTHOR = {Kov\'{a}cs, L.},
     TITLE = {The permutation lemma of {R}ichard {B}rauer},
      NOTE = {A letter to C. W. Curtis},
   JOURNAL = {Bull. London Math. Soc.},
  FJOURNAL = {The Bulletin of the London Mathematical Society},
    VOLUME = {14},
      YEAR = {1982},
    NUMBER = {2},
     PAGES = {127--128},
      ISSN2 = {0024-6093},
   MRCLASS = {20C20},
  MRNUMBER = {647194},
MRREVIEWER = {A. O. Morris},
       DOI = {10.1112/blms/14.2.127},
       URL2 = {https://doi.org/10.1112/blms/14.2.127}
}

@article{Kuperberg1996,
  doi = {10.1007/bf02101184},
  url2 = {https://doi.org/10.1007/bf02101184},
  year = {1996},
  month = sep,
  publisher = {Springer Science and Business Media {LLC}},
  volume = {180},
  number = {1},
  pages = {109--151},
  author = {Kuperberg, G.},
  title = {Spiders for rank {$2$} {L}ie algebras},
  journal = {Communications in Mathematical Physics}
}


@article{PfannererRubeyWestbury2020,
     author = {Pfannerer, S. and Rubey, M. and Westbury, B.},
     title = {Promotion on oscillating and alternating tableaux and rotation of matchings and permutations},
     journal = {Algebraic Combinatorics},
     publisher = {MathOA foundation},
     volume = {3},
     number = {1},
     year = {2020},
     pages = {107-141},
     doi = {10.5802/alco.87},
     url2 = {https://alco.centre-mersenne.org/item/ALCO_2020__3_1_107_0}
}

@article{Purbhoo2013,
 doi = {10.1090/S0002-9947-2012-05676-5},
 ISSN2 = {00029947},
 URL2 = {http://www.jstor.org/stable/23513431},
 author = {Purbhoo, K.},
 journal = {Transactions of the American Mathematical Society},
 number = {4},
 pages = {1977--2030},
 publisher = {American Mathematical Society},
 title = {Wronskians, cyclic group actions, and ribbon tableaux},
 volume = {365},
 year = {2013}
}

@article{ReinerStantonWhite2004, 
	title={The cyclic sieving phenomenon}, 
	volume={108}, 
	url2={https://dx.doi.org/10.1016/j.jcta.2004.04.009}, 
	DOI={10.1016/j.jcta.2004.04.009}, 
	number={1}, 
	journal={Journal of Combinatorial Theory, Series A}, 
	publisher={Elsevier BV}, 
	author={Reiner, V. and Stanton, D. and White, D.}, 
	year={2004}, 
	month = oct, 
	pages={17--50}
} 

@mastersthesis{Rhee2019,
  author = {Rhee, D.},
  title = {Cyclic Sieving Phenomenon of Promotion on Rectangular Tableaux},
  type = {M.S Thesis},
  school = {University of Waterloo},
  address = {Waterloo, Ontario, Canada},
  url2 = {https://pdfs.semanticscholar.org/c7e0/60d4db5fa5a381da333678054288ed6e97a4.pdf},
  year = {2012}
}

@article{Rhoades2010,
  doi = {10.1016/j.jcta.2009.03.017},
  url2 = {https://doi.org/10.1016/j.jcta.2009.03.017},
  year  = {2010},
  month = jan,
  publisher = {Elsevier {BV}},
  volume = {117},
  number = {1},
  pages = {38--76},
  author = {Rhoades, B.},
  title = {Cyclic sieving, promotion, and representation theory},
  journal = {Journal of Combinatorial Theory,  Series A}
}

@article{Rhoades2010b,
  doi = {10.1016/j.disc.2009.10.003},
  url2 = {https://doi.org/10.1016/j.disc.2009.10.003},
  year  = {2010},
  month = feb,
  publisher = {Elsevier {BV}},
  volume = {310},
  number = {4},
  pages = {869--876},
  author = {Rhoades, B.},
  title = {{H}all--{L}ittlewood polynomials and fixed point enumeration},
  journal = {Discrete Mathematics}
}

@misc{RubeyWestbury2014,
Author = {Rubey, M. and Westbury, B.},
Title = {A combinatorial approach to classical representation theory},
Year = {2014},
Eprint = {1408.3592},
EPRINTTYPE = {arxiv}
}

@article{Springer1974,
  doi = {10.1007/bf01390173},
  url2 = {https://doi.org/10.1007/bf01390173},
  year  = {1974},
  month = jun,
  publisher = {Springer Nature},
  volume = {25},
  number = {2},
  pages = {159--198},
  author = {Springer, T.},
  title = {Regular elements of finite reflection groups},
  journal = {Inventiones Mathematicae}
}

@book{StanleyEC2,
    author = {Stanley, R.},
    citeulike-article-id = {368188},
    day = {04},
    edition = {First edition},
    howpublished = {Paperback},
    isbn = {0521789877},
    posted-at = {2012-06-19 14:39:21},
    publisher = {Cambridge University Press},
    title = {Enumerative {C}ombinatorics: {V}olume 2},
    url2 = {http://www.worldcat.org/isbn/0521789877},
    year = {2001}
}

@article{Stembridge1996,
  doi = {10.1215/s0012-7094-96-08224-1},
  url2 = {https://doi.org/10.1215/s0012-7094-96-08224-1},
  year  = {1996},
  month = mar,
  publisher = {Duke University Press},
  volume = {82},
  number = {3},
  pages = {585--606},
  author = {Stembridge, J.},
  title = {Canonical bases and self-evacuating tableaux},
  journal = {Duke Mathematical Journal}
}


@article{Swanson2018,
     author = {Joshua P. Swanson},
     title = {On the existence of tableaux with given modular major index},
     journal = {Algebraic Combinatorics},
     publisher = {MathOA foundation},
     volume = {1},
     number = {1},
     year = {2018},
     pages = {3-21},
     doi = {10.5802/alco.4},
     zbl = {06882332},
     language = {eng},
     url2 = {https://alco.centre-mersenne.org/item/ALCO_2018__1_1_3_0}
}

@misc{Westbury2019,
Author = {Westbury, B.},
Title = {Interpolating between promotion and the long cycle},
Year = {2019},
Eprint = {1906.07146},
EPRINTTYPE = {arxiv}
}


@article{Westbury2016,
  doi = {10.37236/4569},
  url2 = {https://doi.org/10.37236/4569},
  year = {2016},
  month = nov,
  publisher = {The Electronic Journal of Combinatorics},
  volume = {23},
  number = {4},
  author = {Westbury, B.},
  title = {Invariant Tensors and the Cyclic Sieving Phenomenon},
  journal = {The Electronic Journal of Combinatorics}
}