@article{A,
author = {D. Anderson},
journal = {Mathematische Annalen},
pages = {1183-1202},
title = {Okounkov bodies and toric degenerations},
volume = {356},
year = {2013},
}

@article{BZ,
title = {Tensor product multiplicities and convex polytopes in partition space},
journal = {Journal of Geometry and Physics},
volume = {5},
pages = {453-472},
year = {1988},
author = {A.D. Berenstein and A.V. Zelevinsky},
}

@article{CL,
author = {G. {Cerulli Irelli} and M. Lanini},
journal = {International Mathematics Research Notices},
pages = {6353–6374},
title = {Degenerate Flag Varieties of Type {A} and {C} are {S}chubert Varieties},
volume = {2015},
}

@article{DC,
author = {C. {De Concini}},
journal = {Advances in Mathematics},
pages = {1-27},
title = {Symplectic Standard Tableaux},
volume = {34},
year = {1979},
}

@article{FF,
author = {X. Fang and G. Fourier},
journal = {European Journal of Combinatorics},
pages = {267-282},
title = {Marked chain-order polytopes},
volume = {58},
year = {2016},
}

@incollection{FaFL1,
address = {Z\"urich},
author = {X. Fang and G. Fourier and P. Littelmann},
booktitle = {Representation Theory -- Current Trends and Perspectives},
pages = {187-232},
publisher = {European Mathematical Society},
title = {On toric degenerations of flag varieties},
year = {2017},
}

@article{Fe,
author = {E. Feigin},
journal = {Selecta Mathematica},
pages = {513-537},
title = {${\mathbb G}_a^M$ degeneration of flag varieties},
volume = {18},
year = {2012},
}

@article{FFLP,
author = {X. Fang and G. Fourier and J.-P. Litza and C. Pegel},
journal = {SIAM Journal on Discrete Mathematics},
pages = {611-639},
title = {A Continuous Family of Marked Poset Polytopes},
volume = {34},
year = {2020},
}

@article{FFL2,
author = {E. Feigin and G. Fourier and P. Littelmann},
journal = {International Mathematics Research Notices},
pages = {5760-5784},
title = {{PBW}-filtration and bases for symplectic Lie algebras},
volume = {2011},
year = {2011},
}

@article{FFL1,
author = {E. Feigin and G. Fourier and P. Littelmann},
journal = {Transformation Groups},
pages = {71-89},
title = {{PBW} filtration and bases for irreducible modules in type $\mathrm{A}_n$},
volume = {16},
year = {2011},
}

@misc{FM2,
author = {E. Feigin and I. Makhlin},
EPRINT = {2112.05894},
EPRINTTYPE = {arxiv},
title = {Relative poset polytopes and semitoric degenerations},
year = {2021},
}

@article{Fu,
author = {N. Fujita},
journal = {Transactions of the American Mathematical Society, Series B},
pages = {452--481},
title = {Newton--{O}kounkov polytopes of flag varieties and marked chain-order polytopes},
volume = {10},
year = {2023},
}

@article{GT,
author = {I. Gelfand and M. Tsetlin},
journal = {Doklady Akademii Nauk USSR},
pages = {825-828},
title = {Finite dimensional representations of the group of unimodular matrices},
volume = {71},
year = {1950},
}

@article{GL,
author = {N. Gonciulea and V. Lakshmibai},
journal = {Transformation Groups},
pages = {215-248},
title = {Degenerations of flag and {S}chubert varieties to toric varieties},
volume = {1},
year = {1996},
}

@article{Ka,
author = {K. Kaveh},
journal = {Duke Mathematical Journal},
pages = {2461-2506},
title = {Crystal bases and Newton--{O}kounkov bodies},
volume = {164},
year = {2015},
}

@article{KNN,
author = {G. Kemper and Ngo, V. T. and Nguyen, T. V. A.},
journal = {Mathematics of Computation},
pages = {2513-2537},
title = {Toward a theory of monomial preorders},
volume = {87},
year = {2018},
}

@article{KnM,
author = {A. Knutson and E. Miller},
journal = {Annals of Mathematics},
pages = {1245-1318},
title = {Gr\"obner geometry of {S}chubert polynomials},
volume = {161},
year = {2005},
}

@article{KM,
author = {M. Kogan and E. Miller},
journal = {Advances in Mathematics},
pages = {1-17},
title = {Toric degeneration of {S}chubert varieties and {G}elfand--{T}setlin polytopes},
volume = {193},
year = {2005},
}

@article{M1,
author = {I. Makhlin},
journal = {Transformation Groups},
pages = {563-596},
title = {Gelfand--{T}setlin degenerations of representations and flag varieties},
volume = {27},
year = {2022},
}

@misc{M3,
AUTHOR = {I. Makhlin},
EPRINT = {2211.03499},
EPRINTTYPE = {arxiv},
TITLE = {Chain-order polytopes: toric degenerations, Young tableaux and monomial bases},
YEAR = {2022}
}

@misc{MM,
AUTHOR = {I. Makedonskyi and I. Makhlin},
EPRINT = {2402.16207},
TITLE = {Poset polytopes and pipe dreams: types C and B},
EPRINTTYPE = {arxiv},
YEAR = {2024}
}

@article{MY,
author = {A. Molev and O. Yakimova},
journal = {Transformation Groups},
pages = {995-1024},
title = {Monomial bases and branching rules},
volume = {26},
year = {2021},
}

@article{R,
author = {M. Reineke},
journal = {Annals of Mathematics},
pages = {705-723},
title = {On the coloured graph structure of {L}usztig’s canonical basis},
volume = {307},
year = {1997},
}

@article{St,
author = {R. P. Stanley},
journal = {Discrete \& Computational Geometry},
pages = {9-23},
title = {Two poset polytopes},
volume = {1},
year = {1986},
}