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@article{Stanley1980,
	Author = {Stanley, Richard P.},
	Doi = {10.1137/0601021},
	Fjournal = {Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods},
	Journal = {SIAM J. Algebraic Discrete Methods},
	Mrclass = {20G05 (05A05 06A10 14M17)},
	Mrnumber = {578321},
	Number = {2},
	Pages = {168--184},
	Title = {Weyl groups, the hard {L}efschetz theorem, and the {S}perner property},
	Volume = {1},
	Year = {1980},
	Bdsk-Url-1 = {https://doi.org/10.1137/0601021}}

@proceedings{Bjorner,
	Booktitle = {Proceedings of the {AMS}-{IMS}-{SIAM} joint summer research conference held at the {U}niversity of {C}olorado, {B}oulder, {C}olo., {J}une 5--11, 1983},
	Date-Modified = {2019-05-12 13:21:57 +0300},
	Doi = {10.1090/conm/034},
	Editor = {Greene, Curtis},
	Mrclass = {00A11 (05-06 06-06 20-06)},
	Mrnumber = {777690},
	Number = {34},
	Publisher = {American Mathematical Society, Providence, RI},
	Series = {Contemporary Mathematics},
	Title = {Combinatorics and Algebra},
	Year = {1984},
	Bdsk-Url-1 = {https://doi.org/10.1090/conm/034}}

@article{Proctor1982,
	Author = {Proctor, Robert A.},
	Doi = {10.1137/0603026},
	Fjournal = {Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods},
	Journal = {SIAM J. Algebraic Discrete Methods},
	Mrclass = {06A10 (05A17 17B10)},
	Mrnumber = {655567},
	Mrreviewer = {J. B. Miller},
	Number = {2},
	Pages = {275--280},
	Title = {Representations of {$\mathfrak{sl}(2,\mathbb{C})$} on posets and the {S}perner property},
	Volume = {3},
	Year = {1982},
	Bdsk-Url-1 = {https://doi.org/10.1137/0603026}}

@misc{Stanley2017,
	Author = {{Stanley}, R.~P.},
	Eprint = {1704.00851},
	Eprinttype = {arxiv},
	Title = {{Some Schubert shenanigans}},
	Year = {2017}}

@misc{HPSW,
	Author = {Hamaker, Zachary and Pechenik, Oliver and Speyer, David and Weigandt, Anna},
	Eprint = {1812.00321},
	Eprinttype = {arxiv},
	Title = {Derivatives of {S}chubert polynomials and proof of a determinant conjecture of {S}tanley},
	Year = {2018}}

@misc{duality-paper,
	Author = {Gaetz, Christian and Gao, Yibo},
	Eprint = {1812.05126},
	Eprinttype = {arxiv},
	Title = {A combinatorial duality between the weak and strong {B}ruhat orders},
	Year = {2018}}

@book{Stanley2012,
	Author = {Stanley, Richard P.},
	Date-Modified = {2019-05-12 13:23:20 +0300},
	Edition = {2},
	Mrclass = {05-02 (05A15 06-02)},
	Mrnumber = {2868112},
	Number = {49},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {Enumerative Combinatorics. {V}olume 1},
	Year = {2012}}

@book{Kirillov2008,
	Author = {Kirillov, Jr., Alexander},
	Date-Modified = {2019-05-12 13:22:23 +0300},
	Doi = {10.1017/CBO9780511755156},
	Mrclass = {22-01 (17-01 17Bxx 22Exx)},
	Mrnumber = {2440737},
	Mrreviewer = {Erik Koelink},
	Number = {113},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {An Introduction to {L}ie Groups and {L}ie Algebras},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1017/CBO9780511755156}}

@article{Leclerc,
	Author = {Leclerc, Bruno},
	Doi = {10.1006/eujc.1994.1020},
	Fjournal = {European Journal of Combinatorics},
	Journal = {European J. Combin.},
	Mrclass = {05E15 (20F55)},
	Mrnumber = {1261064},
	Mrreviewer = {Hiroshi Naruse},
	Number = {2},
	Pages = {181--185},
	Title = {A finite {C}oxeter group the weak {B}ruhat order of which is not symmetric chain},
	Volume = {15},
	Year = {1994},
	Bdsk-Url-1 = {https://doi.org/10.1006/eujc.1994.1020}}

@article{Product-of-peck,
	Author = {Proctor, Robert A. and Saks, Michael E. and Sturtevant, Dean G.},
	Doi = {10.1016/0012-365X(80)90118-1},
	Fjournal = {Discrete Mathematics},
	Journal = {Discrete Math.},
	Mrclass = {06A10 (05A05)},
	Mrnumber = {566433},
	Mrreviewer = {Derek C. J. Burgess},
	Number = {2},
	Pages = {173--180},
	Title = {Product partial orders with the {S}perner property},
	Volume = {30},
	Year = {1980},
	Bdsk-Url-1 = {https://doi.org/10.1016/0012-365X(80)90118-1}}