@article {armstrong2013uniform,
    AUTHOR = {Armstrong, Drew and Stump, Christian and Thomas, Hugh},
     TITLE = {A uniform bijection between nonnesting and noncrossing
              partitions},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {365},
      YEAR = {2013},
    NUMBER = {8},
     PAGES = {4121--4151},
      ISSN = {0002-9947,1088-6850},
   MRCLASS = {05A05 (05A19 20F55)},
  MRNUMBER = {3055691},
MRREVIEWER = {Alessandro\ Conflitti},
       DOI = {10.1090/S0002-9947-2013-05729-7},
       URL = {https://doi.org/10.1090/S0002-9947-2013-05729-7},
}

@article {bychkov2023electrical,
    AUTHOR = {Bychkov, B. and Gorbounov, V. and Kazakov, A. and Talalaev,
              D.},
     TITLE = {Electrical networks, {L}agrangian {G}rassmannians, and
              symplectic groups},
   JOURNAL = {Mosc. Math. J.},
  FJOURNAL = {Moscow Mathematical Journal},
    VOLUME = {23},
      YEAR = {2023},
    NUMBER = {2},
     PAGES = {133--167},
      ISSN = {1609-3321,1609-4514},
   MRCLASS = {14M15 (05E10 82B20)},
  MRNUMBER = {4598191},
MRREVIEWER = {Giovanni\ Moreno},
       DOI = {10.17323/1609-4514-2023-23-2-133-167},
       URL = {https://doi.org/10.17323/1609-4514-2023-23-2-133-167},
}

@article {chepuri2026electrical,
    AUTHOR = {Chepuri, Sunita and George, Terrence and Speyer, David E.},
     TITLE = {Electrical networks and {L}agrangian {G}rassmannians},
   JOURNAL = {Ann. Inst. Henri Poincar\'e{} D},
  FJOURNAL = {Annales de l'Institut Henri Poincar\'e{} D. Combinatorics,
              Physics and their Interactions},
    VOLUME = {13},
      YEAR = {2026},
    NUMBER = {1},
     PAGES = {191--216},
      ISSN = {2308-5827,2308-5835},
   MRCLASS = {82B20 (14M15 15B48)},
  MRNUMBER = {5031389},
       DOI = {10.4171/aihpd/203},
       URL = {https://doi.org/10.4171/aihpd/203},
}

@incollection {einstein2014piecewiselinear,
    AUTHOR = {Einstein, David and Propp, James},
     TITLE = {Piecewise-linear and birational toggling},
 BOOKTITLE = {26th {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2014)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc.},
    VOLUME = {AT},
     PAGES = {513--524},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2014},
   MRCLASS = {06A07 (05A19)},
  MRNUMBER = {3466399},
  doi = {10.46298/dmtcs.2419},
}

@article {galashin2020ising,
    AUTHOR = {Galashin, Pavel and Pylyavskyy, Pavlo},
     TITLE = {Ising model and the positive orthogonal {G}rassmannian},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {169},
      YEAR = {2020},
    NUMBER = {10},
     PAGES = {1877--1942},
      ISSN = {0012-7094,1547-7398},
   MRCLASS = {82B20 (14M15 15B48 60C05)},
  MRNUMBER = {4118643},
MRREVIEWER = {Felipe\ Zald\'ivar},
       DOI = {10.1215/00127094-2019-0086},
       URL = {https://doi.org/10.1215/00127094-2019-0086},
}

@article {gao2025electrical,
    AUTHOR = {Gao, Yibo and Lam, Thomas and Xu, Zixuan},
     TITLE = {Electrical networks and the grove algebra},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {77},
      YEAR = {2025},
    NUMBER = {2},
     PAGES = {631--664},
      ISSN = {0008-414X,1496-4279},
   MRCLASS = {05E14 (05C10)},
  MRNUMBER = {4876851},
       DOI = {10.4153/S0008414X24000105},
       URL = {https://doi.org/10.4153/S0008414X24000105},
}

@article {hopkins2020cyclic,
    AUTHOR = {Hopkins, Sam},
     TITLE = {Cyclic sieving for plane partitions and symmetry},
   JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {16},
      YEAR = {2020},
     PAGES = {Paper No. 130, 40},
      ISSN = {1815-0659},
   MRCLASS = {05E18 (05E10 17B10 17B37)},
  MRNUMBER = {4184618},
MRREVIEWER = {Vincenzo\ Chilla},
       DOI = {10.3842/SIGMA.2020.130},
       URL = {https://doi.org/10.3842/SIGMA.2020.130},
}

@incollection {hopkins2024order,
    AUTHOR = {Hopkins, Sam},
     TITLE = {Order polynomial product formulas and poset dynamics},
 BOOKTITLE = {Open problems in algebraic combinatorics},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {110},
     PAGES = {135--157},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2024},
      ISBN = {[9781470473334]; [9781470477974]},
   MRCLASS = {06A07 (05A15 05A19 05E10 05E18)},
  MRNUMBER = {4780728},
       DOI = {10.1090/pspum/110/02006},
       URL = {https://doi-org.srv-proxy1.library.tamu.edu/10.1090/pspum/110/02006}
}

@misc{hopkins2026cyclic,
    AUTHOR = {Hopkins, Sam and Kim, Jesse and Pfannerer, Stephan},
    TITLE = {Cylic sieving for staircase plane partitions via crystals and electrical networks},
    YEAR={2026},
    HOWPUBLISHED={Eprint at \arxiv{2607.14028}}
}

@misc{johnson2023plane,
    AUTHOR = {Johnson, Joseph and Liu, Ricky Ini},
    TITLE = {Plane partitions and rowmotion on rectangular and trapezoidal posets},
    YEAR={2023},
    HOWPUBLISHED={Eprint at \arxiv{2311.07133}}
}

@article {lam2018electroid,
    AUTHOR = {Lam, Thomas},
     TITLE = {Electroid varieties and a compactification of the space of
              electrical networks},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {338},
      YEAR = {2018},
     PAGES = {549--600},
      ISSN = {0001-8708,1090-2082},
   MRCLASS = {05C10 (05C82 94C05)},
  MRNUMBER = {3861712},
       DOI = {10.1016/j.aim.2018.09.014},
       URL = {https://doi.org/10.1016/j.aim.2018.09.014},
}

@article {lam2019cyclic,
    AUTHOR = {Lam, Thomas},
     TITLE = {Cyclic {D}emazure modules and positroid varieties},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {26},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {Paper No. 2.28, 20},
      ISSN = {1077-8926},
   MRCLASS = {05E10 (14N15)},
  MRNUMBER = {3956466},
MRREVIEWER = {Frank\ Sottile},
       DOI = {10.37236/8383},
       URL = {https://doi.org/10.37236/8383},
}

@article {pappe2024promotion,
    AUTHOR = {Pappe, Joseph and Pfannerer, Stephan and Schilling, Anne and
              Simone, Mary Claire},
     TITLE = {Promotion and growth diagrams for fans of {D}yck paths and
              vacillating tableaux},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {655},
      YEAR = {2024},
     PAGES = {794--842},
      ISSN = {0021-8693,1090-266X},
   MRCLASS = {05E10 (05A19 05E18 15A72)},
  MRNUMBER = {4756486},
MRREVIEWER = {Annamalai\ Tamilselvi},
       DOI = {10.1016/j.jalgebra.2023.07.038},
       URL = {https://doi.org/10.1016/j.jalgebra.2023.07.038},
}

@article {pfannerer2020promotion,
    AUTHOR = {Pfannerer, Stephan and Rubey, Martin and Westbury, Bruce},
     TITLE = {Promotion on oscillating and alternating tableaux and rotation
              of matchings and permutations},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {3},
      YEAR = {2020},
    NUMBER = {1},
     PAGES = {107--141},
      ISSN = {2589-5486},
   MRCLASS = {05E18 (05E10)},
  MRNUMBER = {4068745},
MRREVIEWER = {Thomas\ Pietraho},
       DOI = {10.5802/alco.87},
       URL = {https://doi.org/10.5802/alco.87},
}

@article {proctor1990symmetric,
    AUTHOR = {Proctor, Robert A.},
     TITLE = {New symmetric plane partition identities from invariant theory
              work of {D}e {C}oncini and {P}rocesi},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {11},
      YEAR = {1990},
    NUMBER = {3},
     PAGES = {289--300},
      ISSN = {0195-6698,1095-9971},
   MRCLASS = {05A15 (22E46)},
  MRNUMBER = {1059559},
MRREVIEWER = {Tadeusz\ J\'ozefiak},
       DOI = {10.1016/S0195-6698(13)80128-X},
       URL = {https://doi.org/10.1016/S0195-6698(13)80128-X},
}

@article {rhoades2010cyclic,
    AUTHOR = {Rhoades, Brendon},
     TITLE = {Cyclic sieving, promotion, and representation theory},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {117},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {38--76},
      ISSN = {0097-3165,1096-0899},
   MRCLASS = {05E10},
  MRNUMBER = {2557880},
MRREVIEWER = {Anna\ Stokke},
       DOI = {10.1016/j.jcta.2009.03.017},
       URL = {https://doi.org/10.1016/j.jcta.2009.03.017},
}

@article {rush2013orbits,
    AUTHOR = {Rush, David B. and Shi, XiaoLin},
     TITLE = {On orbits of order ideals of minuscule posets},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {37},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {545--569},
      ISSN = {0925-9899,1572-9192},
   MRCLASS = {06A06 (05E15)},
  MRNUMBER = {3035516},
       DOI = {10.1007/s10801-012-0380-2},
       URL = {https://doi.org/10.1007/s10801-012-0380-2},
}

@incollection {sagan2011cyclic,
    AUTHOR = {Sagan, Bruce E.},
     TITLE = {The cyclic sieving phenomenon: a survey},
 BOOKTITLE = {Surveys in combinatorics 2011},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {392},
     PAGES = {183--233},
 PUBLISHER = {Cambridge Univ. Press, Cambridge},
      YEAR = {2011},
      ISBN = {978-1-107-60109-3},
   MRCLASS = {05-02 (05A05 05E10 05E15)},
  MRNUMBER = {2866734},
MRREVIEWER = {T.\ Kyle\ Petersen},
doi = {10.1017/CBO9781139004114.006},
}

@article {striker2012promotion,
    AUTHOR = {Striker, Jessica and Williams, Nathan},
     TITLE = {Promotion and rowmotion},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {33},
      YEAR = {2012},
    NUMBER = {8},
     PAGES = {1919--1942},
      ISSN = {0195-6698,1095-9971},
   MRCLASS = {06A07 (05A19)},
  MRNUMBER = {2950491},
MRREVIEWER = {Luca\ Ferrari},
       DOI = {10.1016/j.ejc.2012.05.003},
       URL = {https://doi.org/10.1016/j.ejc.2012.05.003},
}

@phdthesis{sundaram1986combinatorics,
  author = {Sundaram, Sheila},
  copyright = {Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.},
  isbn = {9798206698404},
  keywords = {Mathematics},
  language = {eng},
  publisher = {ProQuest Dissertations & Theses},
  title = {On the Combinatorics of Representations of the Symplectic Group},
  year = {1986},
}

