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    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeJan 13th 2012

    Forgot to mention that I started something on Coxeter group. A lot of it is examples, particularly finite reflection groups (where the classification was effectively stated). If someone knows how to draw Coxeter diagrams, those would be great to include.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2012

    Thanks. I have done some formatting and bookkeeping to it:

    I have added the table of contents, added a floating context table, added some hyperlinks, made the theorems numbered (even if there is just one at the moment) and added the canonical redirects (“Coxeter groups”, “Coxeter matrix”, “Coxeter matrices”, “Coxeter diagram”, “Coxeter diagrams”).

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2018
    • (edited Dec 7th 2018)

    equipped with paragraph on The group F4 with hyperlinks:

    • changed “regular polyhedron” to “regular polytope

    • changed “D 4D_4” to “D4

    [edit: ah, the last one needs fixing…]

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2018

    By the way, the entry keeps saying

    Its Coxeter diagram is:

    but then nothing ever follows (no graphics, no link, just blanks).

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2018
    • (edited Dec 7th 2018)

    And that statement about the vertices of the 24-cell forming the group “D 4D_4” is wrong, no? They form 2T.

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 7th 2018

    Where to add that the 120 vertices of the 600-cell form the binary icosahedral group? This is very much John Baez land.

    • CommentRowNumber7.
    • CommentAuthorzskoda
    • CommentTimeOct 6th 2023

    Treatment of Coxeter groups of finite rank via M-matrices

    • Robert B. Howlett, Coxeter groups and M-matrices, Bull. London Math. Soc. 14:2 (1982) 137-141 doi

    diff, v9, current