% Books

@book{stanley_ec2,
    volume={2},
    edition={2},
    series={Cambridge Studies in Advanced Mathematics},
    title={Enumerative Combinatorics},
    publisher={Cambridge University Press},
    author={Stanley, Richard P.},
    year={2023},
    collection={Cambridge Studies in Advanced Mathematics},
    doi={10.1017/9781009262538}
}

@book{stanley_ec1,
    volume={1},
    edition={2},
    series={Cambridge Studies in Advanced Mathematics},
    title={Enumerative Combinatorics},
    publisher={Cambridge University Press},
    author={Stanley, Richard P.},
    year={2012},
    collection={Cambridge Studies in Advanced Mathematics},
    doi={10.1017/CBO9781139058520}
}

@book{james_liebeck_reps_groups,
    place={Cambridge},
    edition={2},
    title={Representations and Characters of Groups},
    publisher={Cambridge University Press},
    author={James, Gordon and Liebeck, Martin},
    year={2001},
    doi={10.1017/CBO9780511814532}
}

@book{james_kerber_reps_sym,
    place={Cambridge},
    series={Encyclopedia of Mathematics and its Applications},
    title={The Representation Theory of the Symmetric Group},
    publisher={Cambridge University Press},
    author={James, Gordon and Kerber, Adalbert},
    year={1984},
    collection={Encyclopedia of Mathematics and its Applications},
    doi={10.1017/CBO9781107340732}
}

@book{macdonald_symm_fn,
    place={Oxford},
    edition={2},
    series={Oxford Mathematical Monographs},
    title={Symmetric Functions and Hall Polynomials},
    publisher={Oxford University Press},
    author={Macdonald, I. G.},
    year={1995},
    collection={Oxford mathematical monographs},
    doi={10.1093/oso/9780198534891.001.0001}
}

@book{beck_robins_polyhedra,
    place={New York},
    edition={2nd ed.},
    series={Undergraduate Texts in Mathematics},
    title={Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra},
    publisher={Springer New York},
    author={Beck, Matthias and Robins, Sinai},
    year={2015},
    doi={10.1007/978-0-387-46112-0}
}

% Articles

@article{foulkes_concomitants,
    title={Concomitants of the quintic and sextic up to degree four in the coefficients of the ground form},
    author={Foulkes, H. O.},
    journal={Journal of the London Mathematical Society},
    volume={1},
    number={3},
    pages={205--209},
    year={1950},
    publisher={Wiley Online Library},
    doi={10.1112/jlms/s1-25.3.205}
}

@article{craigen_transpose,
    author={Craigen, R.},
    title={Matrices equivalent to their transpose by permutations},
    journal={Congressus Numerantium},
    volume={86},
    year={1992},
    pages={33--41},
    url={https://www.researchgate.net/profile/Rob-Craigen/publication/269027616_Matrices_equivalent_to_their_transpose_by_permutations/links/5c10bf9292851c39ebe6be72/Matrices-equivalent-to-their-transpose-by-permutations.pdf}
}

@article{agaoka_decomposition,
    title={Decomposition formulas of the plethysm $\{m\} \otimes \{\mu\}$ with $|\mu|=3$},
    author={Agaoka, Yoshio},
    journal={Hiroshima University},
    year={2002},
    publisher={Citeseer},
    url={https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=95172bd97321dbcfb79e6080be9ede8705b034cc}
}

@article{yang_algorithm,
    title={An algorithm for computing plethysm coefficients},
    author={Yang, Mei},
    journal={Discrete Mathematics},
    volume={180},
    number={1-3},
    pages={391--402},
    year={1998},
    publisher={Elsevier},
    doi={10.1016/S0012-365X(97)00127-1}
}

@article{kahle_plethysm,
    title={Plethysm and lattice point counting},
    author={Kahle, Thomas and Micha{\l}ek, Mateusz},
    journal={Foundations of Computational Mathematics},
    volume={16},
    number={5},
    pages={1241--1261},
    year={2016},
    publisher={Springer},
    doi={10.1007/s10208-015-9275-7}
}

@article{fulger_asymptotics,
    title={Schur asymptotics of Veronese syzygies},
    author={Fulger, Mihai and Zhou, Xin},
    journal={Mathematische Annalen},
    volume={362},
    pages={529--540},
    year={2015},
    publisher={Springer},
        NUMBER = {1-2},
    doi={10.1007/s00208-014-1125-4}
}

@article{loehr_expose,
    title={A computational and combinatorial expos{\'e} of plethystic calculus},
    author={Loehr, Nicholas A and Remmel, Jeffrey B},
    journal={Journal of Algebraic Combinatorics},
    volume={33},
    number={2},
    pages={163--198},
    year={2011},
    publisher={Springer},
    doi={10.1007/s10801-010-0238-4}
}

@article{stanley_positivity,
    title={Positivity problems and conjectures in algebraic combinatorics},
    author={Stanley, Richard P.},
    journal={Mathematics: Frontiers and Perspectives},
    volume={295},
    pages={319},
    year={2000},
    url={https://math.mit.edu/~rstan/pubs/pubfiles/116.pdf}
}

@article{littlewood1936polynomial,
    title={Polynomial concomitants and invariant matrices},
    author={Littlewood, D. E.},
    journal={Journal of the London Mathematical Society},
    volume={1},
    number={1},
    pages={49--55},
    year={1936},
    publisher={Wiley Online Library},
    doi={10.1112/jlms/s1-11.1.49}
}

@article{kahle2018obstructions,
    title={Obstructions to combinatorial formulas for plethysm},
    author={Kahle, Thomas and Micha{\l}ek, Mateusz},
    journal={The Electronic Journal of Combinatorics},
    volume={25},
    number={1},
    pages={1--41},
    year={2018},
    doi={10.37236/6597}
}

@article{bowman2024partition,
    title={The partition algebra and the plethysm coefficients I: stability and Foulkes' conjecture},
    author={Bowman, Chris and Paget, Rowena},
    journal={Journal of Algebra},
    volume={655},
    pages={110--138},
    year={2024},
    publisher={Elsevier},
    doi={10.1016/j.jalgebra.2023.08.042}
}

@article{fischer2020computational,
    title={The computational complexity of plethysm coefficients},
    author={Fischer, Nick and Ikenmeyer, Christian},
    journal={Computational Complexity},
    volume={29},
    pages={Paper No. 8, 43 pp.},
    year={2020}, 
    doi={10.1007/s00037-020-00198-4}
}

@article{dorfler2020geometric,
    title={On geometric complexity theory: multiplicity obstructions are stronger than occurrence obstructions},
    author={D\"orfler, Julian and Ikenmeyer, Christian and Panova, Greta},
    journal={SIAM Journal on Applied Algebra and Geometry},
    volume={4},
    number={2},
    pages={354--376},
    year={2020},
    publisher={SIAM},
    doi={10.1137/19M1287638}
}

@article{orellana2022plethysm,
    title={Plethysm and the algebra of uniform block permutations},
    author={Orellana, Rosa and Saliola, Franco and Schilling, Anne and Zabrocki, Mike},
    journal={Algebraic Combinatorics},
    volume={5},
    number={5},
    pages={1165--1203},
    year={2022},
    doi={10.5802/alco.243}
}

@article{brion1993stable,
    title={Stable properties of plethysm: on two conjectures of Foulkes},
    author={Brion, Michel},
    journal={Manuscripta Mathematica},
    volume={80},
    pages={347--371},
    year={1993},
    publisher={Springer},
    doi={10.1007/BF03026558}
}

@article{colmenarejo2022mystery,
    title={The mystery of plethysm coefficients},
    author={Colmenarejo, Laura and Orellana, Rosa and Saliola, Franco and Schilling, Anne},
    journal={Proceedings of Symposia in Pure Mathematics},
    volume={110},
    pages={275--292},
    year={2024},
    doi={10.1090/pspum/110/02018}
}


% Software

@misc{oeis,
    author={{OEIS Foundation Inc}},
    title={The On-Line Encyclopedia of Integer Sequences},
    year={2024},
    url={https://oeis.org},
}

@manual{sagemath,
    author={{The Sage Developers}},
    title={{S}age{M}ath, the {S}age {M}athematics {S}oftware {S}ystem},
    url={https://www.sagemath.org},
    version={10.4},
    year={2024},
    doi={10.5281/zenodo.8042260}
}

@manual{GAP4,
    author={{The GAP~Group}},
    title={{GAP -- Groups, Algorithms, and Programming, Version 4.13.1}},
    year={2024},
    url={https://www.gap-system.org},
}