@book {bjorner2005combinatorics,
        AUTHOR = {Bj{\"o}rner, A. and Brenti, F.},
         TITLE = {Combinatorics of Coxeter Groups},
        SERIES = {Graduated Texts in Mathematics},
        VOLUME = {231},
          YEAR = {2005},
     PUBLISHER = {Springer},
         PAGES = {443--551},
           DOI = {10.1007/3-540-27596-7}}

@article {markowsky1994permutation,
        AUTHOR = {Markowsky, G.},
         TITLE = {Permutation lattices revised},
       JOURNAL = {Math. Social Sci.},
        VOLUME = {27},
          YEAR = {1994},
        NUMBER = {1},
         PAGES = {59--72},
     PUBLISHER = {Elsevier},
     doi = {10.1016/0165-4896(94)00731-4}
     }

@article {dyer_2019, 
    AUTHOR = {Dyer, Matthew},
     TITLE = {On the weak order of {C}oxeter groups},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {71},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {299--336}, 
       DOI = {10.4153/cjm-2017-059-0},
       URL = {https://doi.org/10.4153/cjm-2017-059-0},
}

@misc{hohlweg2023problems,
      AUTHOR = {Hohlweg, C.},
     note = {SLC 89 presentation},
       TITLE = {Problems around inversions and descents sets in {C}oxeter groups},
        YEAR = {2023}}

@article {barkley2022combinatorial,
    AUTHOR = {Barkley, Grant T. and Speyer, David E.},
     TITLE = {Combinatorial descriptions of biclosed sets in affine type},
   JOURNAL = {Comb. Theory},
  FJOURNAL = {Combinatorial Theory},
    VOLUME = {4},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {Paper No. 7, 33 pp.},
          DOI = {10.5070/C64264235}}

@misc {barkley2023affine,
      AUTHOR = {Barkley, G. T. and Speyer, D. E.},
      EPRINT = {2311.05737},
  EPRINTTYPE = {arxiv},
       TITLE = {Affine extended weak order is a lattice},
        YEAR = {2023}}

@book {Humphreys,
        AUTHOR = {Humphreys, J. E.},
         TITLE = {Reflection groups and {C}oxeter groups},
        VOLUME = {29},
          YEAR = {1990},
        NUMBER = {3},
         PAGES = {xii+204 pp.},
       ADDRESS = {Cambridge},
     PUBLISHER = {Cambridge University Press},
        SERIES = {Cambridge Studies in Advanced Mathematics},
       MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
      MRNUMBER = {1066460 (92h:20002)},
    MRREVIEWER = {Louis Solomon}}