@article {BaWhitneyHom,
    AUTHOR = {BacLawski, Kenneth},
     TITLE = {Whitney numbers of geometric lattices},
   JOURNAL = {Advances in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {16},
      YEAR = {1975},
     PAGES = {125--138},
       DOI = {10.1016/0001-8708(75)90145-0},
       URL = {https://doi.org/10.1016/0001-8708(75)90145-0},
}


@article {BjShellableTAMS,
    AUTHOR = {Bj\"{o}rner, Anders},
     TITLE = {Shellable and {C}ohen--{M}acaulay partially ordered sets},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {260},
      YEAR = {1980},
    NUMBER = {1},
     PAGES = {159--183},
     DOI = {10.2307/1999881},
      URL = {https://doi.org/10.2307/1999881},
}



		
		

@article {Bj0WhitneyHom,
    AUTHOR = {Bj\"{o}rner, Anders},
     TITLE = {On the homology of geometric lattices},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {14},
      YEAR = {1982},
    NUMBER = {1},
     PAGES = {107--128},
       DOI = {10.1007/BF02483913},
      URL = {https://doi.org/10.1007/BF02483913},
}



@article {BjWachs,
    AUTHOR = {Bj\"{o}rner, Anders and Wachs, Michelle},
     TITLE = {On lexicographically shellable posets},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {277},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {323--341},
      DOI = {10.2307/1999359},
       URL = {https://doi.org/10.2307/1999359},
}
	
		


		
		

@incollection {Bj1,
    AUTHOR = {Bj\"{o}rner, Anders},
     TITLE = {The {M}\"{o}bius function of subword order},
 BOOKTITLE = {Invariant theory and tableaux ({M}inneapolis, {MN}, 1988)},
    SERIES = {IMA Vol. Math. Appl.},
    VOLUME = {19},
     PAGES = {118--124},
 PUBLISHER = {Springer, New York},
      YEAR = {1990},
}



@article {F,
    AUTHOR = {Farmer, Frank D.},
     TITLE = {Cellular homology for posets},
   JOURNAL = {Math. Japon.},
  FJOURNAL = {Mathematica Japonica},
    VOLUME = {23},
      YEAR = {1978/79},
    NUMBER = {6},
     PAGES = {607--613},
}



@book {M,
    AUTHOR = {Macdonald, I. G.},
     TITLE = {Symmetric functions and {H}all polynomials},
    SERIES = {Oxford Mathematical Monographs},
   EDITION = {Second edition},
      NOTE = {With contributions by A. Zelevinsky,
              Oxford Science Publications},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1995},
     PAGES = {x+475},
      ISBN = {},
   }    



@article {St1,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Some aspects of groups acting on finite posets},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {32},
      YEAR = {1982},
    NUMBER = {2},
     PAGES = {132--161},
       DOI = {10.1016/0097-3165(82)90017-6},
     URL = {https://doi.org/10.1016/0097-3165(82)90017-6},
}  
   
 @book {St3EC1,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
      NOTE = {With a foreword by Gian-Carlo Rota,
              Corrected reprint of the 1986 original},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1997},
     PAGES = {xii+325},
       DOI = {10.1017/CBO9780511805967},
      URL = {https://doi.org/10.1017/CBO9780511805967},
}

  
@book {St4EC2,
    AUTHOR = {Stanley, R. P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
      NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey
              Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
          DOI = {10.1017/CBO9780511609589},
}


		

@article {Su0,
    AUTHOR = {Sundaram, Sheila},
     TITLE = {The homology representations of the symmetric group on
              {C}ohen--{M}acaulay subposets of the partition lattice},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {104},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {225--296},
     DOI = {10.1006/aima.1994.1030},
      URL = {https://doi.org/10.1006/aima.1994.1030},
}