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@article{BeCiFu99,
	Author = {Bertram, A. and Ciocan-Fontanine, I. and Fulton, W.},
	Date-Modified = {2019-05-27 20:50:57 +1000},
	Doi = {10.1006/jabr.1999.7960},
	Issn = {0021-8693},
	Journal = {J. Algebra},
	Number = {2},
	Pages = {728--746},
	Publisher = {Elsevier BV},
	Title = {Quantum Multiplication of Schur Polynomials},
	Volume = {219},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1006/jabr.1999.7960}}

@article{BKPT16,
	Author = {Buch, A.S. and Kresch, A. and Purbhoo, K. and Tamvakis, H.},
	Date-Modified = {2019-05-27 20:51:09 +1000},
	Doi = {10.1007/s10801-016-0697-3},
	Issn = {1572-9192},
	Journal = {J. Algebraic Comb.},
	Number = {4},
	Pages = {973--1007},
	Publisher = {Springer Nature},
	Title = {The puzzle conjecture for the cohomology of two-step flag manifolds},
	Volume = {44},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10801-016-0697-3}}

@article{CoKrWa09,
	Author = {Conca, A. and Krattenthaler, C. and Watanabe, J.},
	Journal = {Rend. Sem. Mat. Univ. Padova},
	Pages = {179-199},
	Title = {Regular Sequences of Symmetric Polynomials},
	Url = {http://www.numdam.org/article/RSMUP_2009__121__179_0.pdf},
	Volume = {121},
	Year = {2009},
	Bdsk-Url-1 = {http://www.numdam.org/article/RSMUP_2009__121__179_0.pdf}}

@book{Fulton97,
	Author = {Fulton, W.},
	Publisher = {Cambridge University Press},
	Title = {Young Tableaux},
	Url = {https://doi.org/10.1017/CBO9780511626241},
	Year = {1996},
	Bdsk-Url-1 = {https://doi.org/10.1017/CBO9780511626241}}

@misc{Grinbe17,
	Author = {Grinberg, D.},
	Comment = {detailed version available as ancillary file},
	Eprint = {1704.00839v6},
	Eprinttype = {arxiv},
	Title = {$t$-unique reductions for M\'{e}sz\'{a}ros's subdivision algebra},
	Year = {2018}}

@misc{Grinbe18,
	Author = {Grinberg, D.},
	Comment = {draft},
	Title = {A basis for a quotient of symmetric polynomials (draft)},
	Url = {http://www.cip.ifi.lmu.de/~grinberg/algebra/basisquot.pdf},
	Bdsk-Url-1 = {http://www.cip.ifi.lmu.de/~grinberg/algebra/basisquot.pdf}}

@misc{GriRei18,
	Author = {Grinberg, D. and Reiner, V.},
	Comment = {detailed version available as ancillary file},
	Eprint = {1409.8356v5},
	Eprinttype = {arxiv},
	Title = {Hopf algebras in Combinatorics},
	Year = {2018}}

@misc{LLPT95,
	Author = {Laksov, D. and Lascoux, A. and Pragacz, P. and Thorup, A.},
	Date-Modified = {2020-02-05 13:11:59 +1100},
	Title = {The LLPT Notes},
	Url = {http://web.math.ku.dk/noter/filer/sympol.pdf},
	Year = {2018},
	Bdsk-Url-1 = {http://web.math.ku.dk/noter/filer/sympol.pdf}}

@article{LakTho12,
	Author = {Laksov, D. and Thorup, A.},
	Date-Modified = {2019-05-27 20:50:29 +1000},
	Journal = {Indiana Univ. Math. J.},
	Number = {3},
	Pages = {1253-1312},
	Title = {Splitting algebras and Schubert calculus},
	Volume = {61},
	Year = {2012}}

@book{Manive01,
	Author = {Manivel, L.},
	Publisher = {AMS},
	Title = {Symmetric Functions, Schubert Polynomials, and Degeneracy Loci},
	Year = {2001}}

@article{Postni05,
	Author = {Postnikov, A.},
	Date-Modified = {2019-05-27 20:50:44 +1000},
	Issue = {3},
	Journal = {Duke Math. J.},
	Pages = {473-509},
	Title = {Affine approach to quantum Schubert calculus},
	Url = {https://math.mit.edu/~apost/papers/affine_approach.pdf},
	Volume = {128},
	Bdsk-Url-1 = {https://math.mit.edu/~apost/papers/affine_approach.pdf}}

@manual{SageMath,
	Author = {{The Sage Developers}},
	Date-Modified = {2019-05-27 20:52:09 +1000},
	Key = {SageMath},
	Title = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 7.3)},
	Url = {https://www.sagemath.org},
	Year = {2017},
	Bdsk-Url-1 = {https://www.sagemath.org}}

@book{Sturmf08,
	Author = {Sturmfels, B.},
	Edition = {2},
	Publisher = {Springer},
	Title = {Algorithms in Invariant Theory},
	Year = {2008}}