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@article{Halverson,
	Author = {T. Halverson},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Journal = {J. Algebra},
	Pages = {227-251},
	Read = {1},
	Title = {Representations of the q-rook monoid},
	Volume = {273},
	Year = {2004}}

@misc{BH,
	Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
	Adsurl = {https://ui.adsabs.harvard.edu/abs/2017arXiv170907751B},
	Archiveprefix = {arXiv},
	Author = {{Benkart}, Georgia and {Halverson}, Tom},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Eid = {arXiv:1709.07751},
	Eprint = {1709.07751},
	Journal = {arXiv e-prints},
	Keywords = {Mathematics - Representation Theory, Mathematics - Combinatorics, 05E10, 20C30},
	Month = {Sep},
	Pages = {arXiv:1709.07751},
	Primaryclass = {math.RT},
	Title = {{Partition Algebras and the Invariant Theory of the Symmetric Group}},
	Year = {2017}}

@article{BH2,
	Author = {Benkart, Georgia and Halverson, Tom},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1112/jlms.12175},
	Fjournal = {Journal of the London Mathematical Society. Second Series},
	Issn = {0024-6107},
	Journal = {J. Lond. Math. Soc. (2)},
	Mrclass = {05E10 (20C30)},
	Mrnumber = {3909254},
	Number = {1},
	Pages = {194--224},
	Title = {Partition algebras {$\ssf{P}_k(n)$} with {$2k>n$} and the fundamental theorems of invariant theory for the symmetric group {$\ssf{S}_n$}},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1112/jlms.12175},
	Volume = {99},
	Year = {2019},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1112/jlms.12175},
	Bdsk-Url-2 = {http://dx.doi.org/10.1112/jlms.12175}}

@article{BH-motzkin,
	Author = {Benkart, Georgia and Halverson, Tom},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1016/j.ejc.2013.09.010},
	Fjournal = {European Journal of Combinatorics},
	Issn = {0195-6698},
	Journal = {European J. Combin.},
	Mrclass = {05A19 (05A10)},
	Mrnumber = {3131911},
	Pages = {473--502},
	Title = {Motzkin algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/j.ejc.2013.09.010},
	Volume = {36},
	Year = {2014},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/j.ejc.2013.09.010},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.ejc.2013.09.010}}

@article{BHH,
	Author = {Benkart, Georgia and Halverson, Tom and Harman, Nate},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1007/s10801-017-0748-4},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Issn = {0925-9899},
	Journal = {J. Algebraic Combin.},
	Mrclass = {05E10 (11B73 20C15)},
	Mrnumber = {3666413},
	Mrreviewer = {Christine Bessenrodt},
	Number = {1},
	Pages = {77--108},
	Title = {Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/s10801-017-0748-4},
	Volume = {46},
	Year = {2017},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/s10801-017-0748-4},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/s10801-017-0748-4}}

@article{Brauer,
	Author = {Brauer, Richard},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.2307/1968843},
	Fjournal = {Annals of Mathematics. Second Series},
	Issn = {0003-486X},
	Journal = {Ann. of Math. (2)},
	Mrclass = {DML},
	Mrnumber = {1503378},
	Number = {4},
	Pages = {857--872},
	Title = {On algebras which are connected with the semisimple continuous groups},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.2307/1968843},
	Volume = {38},
	Year = {1937},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.2307/1968843},
	Bdsk-Url-2 = {http://dx.doi.org/10.2307/1968843}}

@book{CST,
	Author = {Ceccherini-Silberstein, Tullio and Scarabotti, Fabio and Tolli, Filippo},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1017/CBO9781139192361},
	Isbn = {978-0-521-11817-0},
	Mrclass = {20C30 (05E05 05E10)},
	Mrnumber = {2643487},
	Mrreviewer = {David Hemmer},
	Note = {The Okounkov-Vershik approach, character formulas, and partition algebras},
	Pages = {xvi+412},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {Representation theory of the symmetric groups},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1017/CBO9781139192361},
	Volume = {121},
	Year = {2010},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1017/CBO9781139192361},
	Bdsk-Url-2 = {http://dx.doi.org/10.1017/CBO9781139192361}}

@book{CLO,
	Author = {Cox, David A. and Little, John and O'Shea, Donal},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1007/978-3-319-16721-3},
	Edition = {Fourth},
	Isbn = {978-3-319-16720-6; 978-3-319-16721-3},
	Mrclass = {13P10 (13-01 14-01 14Qxx 68W30)},
	Mrnumber = {3330490},
	Note = {An introduction to computational algebraic geometry and commutative algebra},
	Pages = {xvi+646},
	Publisher = {Springer, Cham},
	Series = {Undergraduate Texts in Mathematics},
	Title = {Ideals, varieties, and algorithms},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/978-3-319-16721-3},
	Year = {2015},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/978-3-319-16721-3},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/978-3-319-16721-3}}

@book{Comtet,
	Author = {Comtet, Louis},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Edition = {enlarged},
	Isbn = {90-277-0441-4},
	Mrclass = {05-02},
	Mrnumber = {0460128},
	Note = {The art of finite and infinite expansions},
	Pages = {xi+343},
	Publisher = {D. Reidel Publishing Co., Dordrecht},
	Title = {Advanced combinatorics},
	Year = {1974}}

@article{FHH,
	Author = {Flath, Daniel and Halverson, Tom and Herbig, Kathryn},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.4171/lem/55-1-3},
	Fjournal = {L'Enseignement Math\'{e}matique. Revue Internationale. 2e S\'{e}rie},
	Issn = {0013-8584},
	Journal = {Enseign. Math. (2)},
	Mrclass = {20C15 (05A10 05E15)},
	Mrnumber = {2541502},
	Mrreviewer = {Anthony Henderson},
	Number = {1-2},
	Pages = {77--92},
	Title = {The planar rook algebra and {P}ascal's triangle},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.4171/lem/55-1-3},
	Volume = {55},
	Year = {2009},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.4171/lem/55-1-3},
	Bdsk-Url-2 = {http://dx.doi.org/10.4171/lem/55-1-3}}

@article{Gessel,
	Author = {Gessel, Ira M.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1016/0012-365X(94)00135-6},
	Fjournal = {Discrete Mathematics},
	Issn = {0012-365X},
	Journal = {Discrete Math.},
	Mrclass = {05C30},
	Mrnumber = {1336842},
	Mrreviewer = {T. R. S. Walsh},
	Note = {Formal power series and algebraic combinatorics (Montreal, PQ, 1992)},
	Number = {1-3},
	Pages = {257--271},
	Title = {Enumerative applications of a decomposition for graphs and digraphs},
	Url = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/0012-365X(94)00135-6},
	Volume = {139},
	Year = {1995},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/0012-365X(94)00135-6},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/0012-365X(94)00135-6}}

@book{GoodWall,
	Author = {Goodman, Roe and Wallach, Nolan R.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Isbn = {0-521-58273-3; 0-521-66348-2},
	Mrclass = {20G05 (14L35 14M17 17B10 20C30 20G20 22E46)},
	Mrnumber = {1606831},
	Mrreviewer = {James E. Humphreys},
	Pages = {xvi+685},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Encyclopedia of Mathematics and its Applications},
	Title = {Representations and invariants of the classical groups},
	Volume = {68},
	Year = {1998}}

@article{Hal,
	Author = {Halverson, Tom},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1006/jabr.2000.8613},
	Fjournal = {Journal of Algebra},
	Issn = {0021-8693},
	Journal = {J. Algebra},
	Mrclass = {20C30 (20C15)},
	Mrnumber = {1823772},
	Mrreviewer = {Arun Ram},
	Number = {2},
	Pages = {502--533},
	Title = {Characters of the partition algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1006/jabr.2000.8613},
	Volume = {238},
	Year = {2001},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1006/jabr.2000.8613},
	Bdsk-Url-2 = {http://dx.doi.org/10.1006/jabr.2000.8613}}

@article{HD,
	Author = {Halverson, Tom and delMas, Elise},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1080/00927872.2012.716120},
	Fjournal = {Communications in Algebra},
	Issn = {0092-7872},
	Journal = {Comm. Algebra},
	Mrclass = {05E10 (20G05)},
	Mrnumber = {3169580},
	Mrreviewer = {Cathy E. Kriloff},
	Number = {1},
	Pages = {423--443},
	Title = {Representations of the {R}ook-{B}rauer algebra},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1080/00927872.2012.716120},
	Volume = {42},
	Year = {2014},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1080/00927872.2012.716120},
	Bdsk-Url-2 = {http://dx.doi.org/10.1080/00927872.2012.716120}}

@misc{HJ,
	Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
	Adsurl = {https://ui.adsabs.harvard.edu/abs/2018arXiv180808118H},
	Archiveprefix = {arXiv},
	Author = {{Halverson}, Tom and {Jacobson}, Theodore N.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Eid = {arXiv:1808.08118},
	Eprint = {1808.08118},
	Journal = {arXiv e-prints},
	Keywords = {Mathematics - Representation Theory, Mathematics - Combinatorics, 05E10, 05E18, 20C15},
	Month = {Aug},
	Pages = {arXiv:1808.08118},
	Primaryclass = {math.RT},
	Title = {{Set-partition tableaux and representations of diagram algebras}},
	Year = {2018}}

@article{HalLew,
	Author = {Halverson, Tom and Lewandowski, Tim},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05E10 (05A18 20C30)},
	Mrnumber = {2195430},
	Mrreviewer = {Andrew Mathas},
	Number = {2},
	Pages = {Research Paper 24, 24},
	Title = {R{SK} insertion for set partitions and diagram algebras},
	Url = {http://www.combinatorics.org/Volume_11/Abstracts/v11i2r24.html},
	Volume = {11},
	Year = {2004/06},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_11/Abstracts/v11i2r24.html}}

@article{HalRam,
	Author = {Halverson, Tom and Ram, Arun},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1016/j.ejc.2004.06.005},
	Fjournal = {European Journal of Combinatorics},
	Issn = {0195-6698},
	Journal = {European J. Combin.},
	Mrclass = {05E10 (20C30 20G05)},
	Mrnumber = {2143201},
	Mrreviewer = {Karin Erdmann},
	Number = {6},
	Pages = {869--921},
	Title = {Partition algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/j.ejc.2004.06.005},
	Volume = {26},
	Year = {2005},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/j.ejc.2004.06.005},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.ejc.2004.06.005}}

@incollection{Howe,
	Author = {Howe, Roger},
	Booktitle = {The {S}chur lectures (1992) ({T}el {A}viv)},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Mrclass = {13A50 (15A72 20G05 22E46)},
	Mrnumber = {1321638},
	Mrreviewer = {Frank D. Grosshans},
	Pages = {1--182},
	Publisher = {Bar-Ilan Univ., Ramat Gan},
	Series = {Israel Math. Conf. Proc.},
	Title = {Perspectives on invariant theory: {S}chur duality, multiplicity-free actions and beyond},
	Volume = {8},
	Year = {1995}}

@article{Jones1,
	Author = {Jones, V. F. R.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1007/BF01389127},
	Fjournal = {Inventiones Mathematicae},
	Issn = {0020-9910},
	Journal = {Invent. Math.},
	Mrclass = {46L35 (10D07)},
	Mrnumber = {696688},
	Mrreviewer = {Yasuo Watatani},
	Number = {1},
	Pages = {1--25},
	Title = {Index for subfactors},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/BF01389127},
	Volume = {72},
	Year = {1983},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/BF01389127},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/BF01389127}}

@incollection{Jones,
	Author = {Jones, V. F. R.},
	Booktitle = {Subfactors ({K}yuzeso, 1993)},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Mrclass = {82B20 (20C30 46L60)},
	Mrnumber = {1317365},
	Pages = {259--267},
	Publisher = {World Sci. Publ., River Edge, NJ},
	Title = {The {P}otts model and the symmetric group},
	Year = {1994}}

@article{Knuth,
	Author = {Knuth, Donald E.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Fjournal = {Pacific Journal of Mathematics},
	Issn = {0030-8730},
	Journal = {Pacific J. Math.},
	Mrclass = {05.30},
	Mrnumber = {0272654},
	Mrreviewer = {M. Doob},
	Pages = {709--727},
	Title = {Permutations, matrices, and generalized {Y}oung tableaux},
	Url = {http://projecteuclid.org.proxy.bibliotheques.uqam.ca/euclid.pjm/1102971948},
	Volume = {34},
	Year = {1970},
	Bdsk-Url-1 = {http://projecteuclid.org.proxy.bibliotheques.uqam.ca/euclid.pjm/1102971948}}

@book{MacMahon,
	Author = {MacMahon, Percy A.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Isbn = {0-486-49586-8},
	Mrclass = {05-02 (01A75)},
	Mrnumber = {2417935},
	Note = {Reprint of {{\i}t An introduction to combinatory analysis} (1920) and {{\i}t Combinatory analysis. Vol. I, II} (1915, 1916)},
	Pages = {ii+761},
	Publisher = {Dover Publications, Inc., Mineola, NY},
	Series = {Dover Phoenix Editions},
	Title = {Combinatory analysis. {V}ol. {I}, {II} (bound in one volume)},
	Year = {2004}}

@article{Martin1,
	Author = {Martin, Paul P.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.2977/prims/1195170958},
	Fjournal = {Kyoto University. Research Institute for Mathematical Sciences. Publications},
	Issn = {0034-5318},
	Journal = {Publ. Res. Inst. Math. Sci.},
	Mrclass = {82B23 (16W30 81T25 81T40)},
	Mrnumber = {1068862},
	Mrreviewer = {Tetsuo Deguchi},
	Number = {3},
	Pages = {485--503},
	Title = {Representations of graph {T}emperley-{L}ieb algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.2977/prims/1195170958},
	Volume = {26},
	Year = {1990},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.2977/prims/1195170958},
	Bdsk-Url-2 = {http://dx.doi.org/10.2977/prims/1195170958}}

@article{MM,
	Author = {Martin, Paul and Mazorchuk, Volodymyr},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1093/qmath/has043},
	Fjournal = {The Quarterly Journal of Mathematics},
	Issn = {0033-5606},
	Journal = {Q. J. Math.},
	Mrclass = {16G30},
	Mrnumber = {3179659},
	Mrreviewer = {David-Alexandre Guiraud},
	Number = {1},
	Pages = {225--247},
	Title = {On the representation theory of partial {B}rauer algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1093/qmath/has043},
	Volume = {65},
	Year = {2014},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1093/qmath/has043},
	Bdsk-Url-2 = {http://dx.doi.org/10.1093/qmath/has043}}

@article{MarRol,
	Author = {Martin, P. P. and Rollet, G.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1023/A:1000400414739},
	Fjournal = {Compositio Mathematica},
	Issn = {0010-437X},
	Journal = {Compositio Math.},
	Mrclass = {05E10 (82B20)},
	Mrnumber = {1626017},
	Mrreviewer = {Yasuyuki Kawahigashi},
	Number = {2},
	Pages = {237--254},
	Title = {The {P}otts model representation and a {R}obinson-{S}chensted correspondence for the partition algebra},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1023/A:1000400414739},
	Volume = {112},
	Year = {1998},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1023/A:1000400414739},
	Bdsk-Url-2 = {http://dx.doi.org/10.1023/A:1000400414739}}

@article{MS,
	Author = {Martin, Paul and Saleur, Hubert},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
	Journal = {Comm. Math. Phys.},
	Mrclass = {82B23 (82B20)},
	Mrnumber = {1243720},
	Number = {1},
	Pages = {155--190},
	Title = {On an algebraic approach to higher-dimensional statistical mechanics},
	Url = {http://projecteuclid.org.proxy.bibliotheques.uqam.ca/euclid.cmp/1104254135},
	Volume = {158},
	Year = {1993},
	Bdsk-Url-1 = {http://projecteuclid.org.proxy.bibliotheques.uqam.ca/euclid.cmp/1104254135}}

@misc{OZ,
	Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
	Adsurl = {https://ui.adsabs.harvard.edu/abs/2016arXiv160506672O},
	Archiveprefix = {arXiv},
	Author = {{Orellana}, Rosa and {Zabrocki}, Mike},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Eid = {arXiv:1605.06672},
	Eprint = {1605.06672},
	Journal = {arXiv e-prints},
	Keywords = {Mathematics - Combinatorics, 05E05, 05E10, 06B15, 20C30},
	Month = {May},
	Pages = {arXiv:1605.06672},
	Primaryclass = {math.CO},
	Title = {{Symmetric group characters as symmetric functions}},
	Year = {2016}}
	
@misc{OZ2,
	Author = {{Orellana}, R. and {Zabrocki}, M.},
	Eprint = {1906.01125},
	Primaryclass = {math.CO},
	Title = {{A combinatorial model for the decomposition of multivariate polynomials rings as an $S_n$-module}},
	Year = {2019}}
	
@article{COSSZ,
	Author = {{Colmenarejo}, L. and {Orellana}, R. and {Saliola}, F. and {Schilling}, A. and {Zabrocki}, M.},
	Title = {{An insertion algorithm on multiset partitions with applications to diagram algebras}},
	journal={J. Algebra}, 
	volume={557}, 
	number={1},
	pages={97--128},
	Year = {2020},
	 doi={10.1016/j.jalgebra.2020.04.010}}

@article {DO,
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     Title = {The quasi-partition algebra},
   Journal = {J. Algebra},
  Fjournal = {Journal of Algebra},
    Volume = {404},
      Year = {2014},
     Pages = {124--151},
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@article{R,
	Author = {Renault, Marc},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1080/00029890.2008.11920537},
	Fjournal = {American Mathematical Monthly},
	Issn = {0002-9890},
	Journal = {Amer. Math. Monthly},
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	Number = {4},
	Pages = {358--363},
	Title = {Lost (and found) in translation: {A}ndr\'{e}'s actual method and its application to the generalized ballot problem},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1080/00029890.2008.11920537},
	Volume = {115},
	Year = {2008},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1080/00029890.2008.11920537},
	Bdsk-Url-2 = {http://dx.doi.org/10.1080/00029890.2008.11920537}}

@article{Robinson,
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	Date-Added = {2020-06-14 20:27:26 -0400},
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	Journal = {Amer. J. Math.},
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	Pages = {745--760},
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	Volume = {60},
	Year = {1938},
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	Bdsk-Url-2 = {http://dx.doi.org/10.2307/2371609}}

@book{Rosas,
	Author = {Rosas, Mercedes Helena},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Isbn = {978-0599-63153-3},
	Mrclass = {Thesis},
	Mrnumber = {2700302},
	Note = {Thesis (Ph.D.)--Brandeis University},
	Pages = {96},
	Publisher = {ProQuest LLC, Ann Arbor, MI},
	Title = {A combinatorial overview of the theory of {M}ac{M}ahon symmetric functions and a study of the {K}ronecker product of {S}chur functions},
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@book{Sagan,
	Author = {Sagan, Bruce E.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1007/978-1-4757-6804-6},
	Edition = {Second},
	Isbn = {0-387-95067-2},
	Mrclass = {05E10 (05E05 20C30)},
	Mrnumber = {1824028},
	Note = {Representations, combinatorial algorithms, and symmetric functions},
	Pages = {xvi+238},
	Publisher = {Springer-Verlag, New York},
	Series = {Graduate Texts in Mathematics},
	Title = {The symmetric group},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/978-1-4757-6804-6},
	Volume = {203},
	Year = {2001},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/978-1-4757-6804-6},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/978-1-4757-6804-6}}

@book{Schur1,
	Author = {Schur, I},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Note = {Dissertation. Berlin. \textbf{76} S (1901) JMF 32.0165.04},
	Title = {{U}ber eine {K}lasse von {M}atrizen, die sich einer gegebenen {M}atrix zuordnen lassen}}

@book{Schur2,
	Author = {Schur, I},
	Date-Added = {2020-06-14 20:27:26 -0400},
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	Journal = {Sitzungsberichte Akad. Berlin},
	Note = {JMF 53.0108.05},
	Pages = {58--75},
	Title = {{U}ber die rationalen {D}arstellungen der allgemeinen linearen {G}ruppe},
	Year = {1927}}

@article{Schensted,
	Author = {Schensted, C.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.4153/CJM-1961-015-3},
	Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques},
	Issn = {0008-414X},
	Journal = {Canad. J. Math.},
	Mrclass = {05.00},
	Mrnumber = {0121305},
	Mrreviewer = {D. E. Rutherford},
	Pages = {179--191},
	Title = {Longest increasing and decreasing subsequences},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.4153/CJM-1961-015-3},
	Volume = {13},
	Year = {1961},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.4153/CJM-1961-015-3},
	Bdsk-Url-2 = {http://dx.doi.org/10.4153/CJM-1961-015-3}}

@article{Solomon,
	Author = {Solomon, Louis},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1016/S0021-8693(02)00004-2},
	Fjournal = {Journal of Algebra},
	Issn = {0021-8693},
	Journal = {J. Algebra},
	Mrclass = {20M30 (20C30)},
	Mrnumber = {1939108},
	Mrreviewer = {Jan Okni\'{n}ski},
	Number = {2},
	Pages = {309--342},
	Title = {Representations of the rook monoid},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/S0021-8693(02)00004-2},
	Volume = {256},
	Year = {2002},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1016/S0021-8693(02)00004-2},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/S0021-8693(02)00004-2}}

@article{TL,
	Author = {Temperley, H. N. V. and Lieb, E. H.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Doi = {10.1098/rspa.1971.0067},
	Fjournal = {Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences},
	Issn = {0962-8444},
	Journal = {Proc. Roy. Soc. London Ser. A},
	Mrclass = {05C99 (82.05)},
	Mrnumber = {0498284},
	Number = {1549},
	Pages = {251--280},
	Title = {Relations between the ``percolation'' and ``colouring'' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ``percolation'' problem},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1098/rspa.1971.0067},
	Volume = {322},
	Year = {1971},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1098/rspa.1971.0067},
	Bdsk-Url-2 = {http://dx.doi.org/10.1098/rspa.1971.0067}}

@article{Wenzl,
	Author = {Wenzl, Hans},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
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	Fjournal = {Annals of Mathematics. Second Series},
	Issn = {0003-486X},
	Journal = {Ann. of Math. (2)},
	Mrclass = {20G05 (16A46 20C15 46L35)},
	Mrnumber = {951511},
	Mrreviewer = {Frederick Goodman},
	Number = {1},
	Pages = {173--193},
	Title = {On the structure of {B}rauer's centralizer algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.2307/1971466},
	Volume = {128},
	Year = {1988},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.2307/1971466},
	Bdsk-Url-2 = {http://dx.doi.org/10.2307/1971466}}

@article{West,
	Author = {Westbury, B. W.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
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	Fjournal = {Mathematische Zeitschrift},
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	Title = {The representation theory of the {T}emperley-{L}ieb algebras},
	opturl = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/BF02572380},
	Volume = {219},
	Year = {1995},
	Bdsk-Url-1 = {https://doi-org.proxy.bibliotheques.uqam.ca/10.1007/BF02572380},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/BF02572380}}

@book{Weyl,
	Author = {Weyl, Hermann},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Isbn = {0-691-05756-7},
	Mrclass = {01A75 (20-03 20Cxx 20Gxx 22-01)},
	Mrnumber = {1488158},
	Note = {Their invariants and representations, Fifteenth printing, Princeton Paperbacks},
	Pages = {xiv+320},
	Publisher = {Princeton University Press, Princeton, NJ},
	Series = {Princeton Landmarks in Mathematics},
	Title = {The classical groups},
	Year = {1997}}

@misc{OEIS,
	Author = {OEIS Foundation Inc.},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Note = {[Online]},
	Title = {The On-Line Encyclopedia of Integer Sequences},
	Url = {http://oeis.org},
	Year = {2019},
	Bdsk-Url-1 = {http://oeis.org}}

@misc{wiki:YoungLattice,
	Author = {{Wikipedia contributors}},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Note = {[Online; accessed 26-April-2019]},
	Title = {Young's Lattice --- {W}ikipedia{,} The Free Encyclopedia},
	Url = {https://en.wikipedia.org/wiki/Young's_lattice},
	Year = {2019},
	Bdsk-Url-1 = {https://en.wikipedia.org/wiki/Young's_lattice}}

@article{Halverson.2019,
	Author = {Halverson, Tom},
	Date-Added = {2020-06-14 20:27:26 -0400},
	Date-Modified = {2020-06-14 20:27:26 -0400},
	Fjournal = {S\'eminaire Lotharingien de Combinatoire},
	Journal = {S\'emin. Loth. Combin.},
	Note = {to appear},
	Title = {Set-partition tableaux, symmetric group multiplicities, and partition algebra modules},
	Year = {2019}}