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@Book{Mac95,
  author    = {Macdonald, I.},
  title     = {Symmetric functions and {H}all polynomials},
  edition   = {Second},
  note      = {With contributions by A. Zelevinsky, Oxford Science Publications},
  pages     = {x+475},
  publisher = {The Clarendon Press, Oxford University Press, New York},
  series    = {Oxford Mathematical Monographs},
  year      = {1995},
}


@misc{NT19,
Author={Nadeau, P. and Tewari, V.},
Title={Divided symmetrization and quasisymmetric functions},
Year={2019},
eprint={1908.10934},
eprinttype={arxiv}
}

@Article{MR95,
  author   = {Malvenuto, C. and Reutenauer, C.},
  title    = {Duality between quasi-symmetric functions and the {S}olomon descent algebra},
  number   = {3},
  pages    = {967--982},
  volume   = {177},
  doi={https://doi.org/10.1006/jabr.1995.1336},
  fjournal = {Journal of Algebra},
  journal  = {J. Algebra},
  year     = {1995},
}

@Article{AFNT15,
  author   = {Aval, J. and F\'{e}ray, V. and Novelli, J. and Thibon, J..},
  title    = {Quasi-symmetric functions as polynomial functions on {Y}oung diagrams},
  number   = {3},
  doi={https://doi.org/10.1007/s10801-014-0549-y},
  pages    = {669--706},
  volume   = {41},
  fjournal = {Journal of Algebraic Combinatorics. An International Journal},
  journal  = {J. Algebraic Combin.},
  year     = {2015},
}

@Article{Pos09,
  author   = {Postnikov, A.},
  title    = {Permutohedra, associahedra, and beyond},
  number   = {6},
  doi={https://doi.org/10.1093/imrn/rnn153},
  pages    = {1026--1106},
  fjournal = {International Mathematics Research Notices. IMRN},
  journal  = {Int. Math. Res. Not. IMRN},
  year     = {2009},
}

@Book{St99,
  author    = {Stanley, R.},
  title     = {Enumerative combinatorics. {V}ol. 2},
  note      = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin},
  pages     = {xii+581},
  publisher = {Cambridge University Press, Cambridge},
  series    = {Cambridge Studies in Advanced Mathematics},
  volume    = {62},
  year      = {1999},
}

@InCollection{Ges84,
  author    = {Gessel, I.},
  booktitle = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)},
  title     = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions},
  pages     = {289--317},
  doi={10.1090/conm/034/777705},
  publisher = {Amer. Math. Soc., Providence, RI},
  series    = {Contemp. Math.},
  volume    = {34},
  year      = {1984},
}

@Article{Pet18,
  author   = {Petrov, F.},
  title    = {Combinatorial and probabilistic formulae for divided symmetrization},
  number   = {2},
  pages    = {336--340},
  volume   = {341},
  fjournal = {Discrete Mathematics},
  journal  = {Discrete Math.},
  doi={10.1016/j.disc.2017.09.001},
  year     = {2018},
}

@Article{ABB04,
  author   = {Aval, J.-C. and Bergeron, F. and Bergeron, N.},
  title    = {Ideals of quasi-symmetric functions and super-covariant polynomials for {$S_n$}},
  number   = {2},
  pages    = {353--367},
  doi={https://doi.org/10.1016/S0001-8708(03)00068-9},
  volume   = {181},
  fjournal = {Advances in Mathematics},
  journal  = {Adv. Math.},
  year     = {2004},
}

@Book{St97,
  author    = {Stanley, R.},
  title     = {Enumerative combinatorics. {V}ol. 1},
  note      = {With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986 original},
  pages     = {xii+325},
  publisher = {Cambridge University Press, Cambridge},
  series    = {Cambridge Studies in Advanced Mathematics},
  volume    = {49},
  year      = {1997},
}

@Article{Amd16,
  author   = {Amdeberhan, T.},
  title    = {Explicit computations with the divided symmetrization operator},
  number   = {7},
  pages    = {2799--2810},
  doi={https://doi.org/10.1090/proc/12931},
  volume   = {144},
  fjournal = {Proceedings of the American Mathematical Society},
  journal  = {Proc. Amer. Math. Soc.},
  year     = {2016},
}

@Article{AB03,
  author   = {Aval, J.-C. and Bergeron, N.},
  title    = {Catalan paths and quasi-symmetric functions},
  number   = {4},
  pages    = {1053--1062},
  volume   = {131},
  fjournal = {Proceedings of the American Mathematical Society},
  journal  = {Proc. Amer. Math. Soc.},
  doi={ 10.2307/1194183},
  year     = {2003},
}