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nLab > Latest Changes: ADE -- table

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2015

    it is long overdue that we create a table listing what appears in the ADE pattern.

    In a stolen minute I gave it a start at ADE – table.

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeAug 16th 2015
    • (edited Aug 16th 2015)

    I don’t know where to put is, but Drew Armstrong’s What is ADE? might be a good reference.

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 17th 2015
    • (edited Aug 17th 2015)

    A snappier summary by the same author is here. Looks like these references could go to ADE classification.

    Obviously an embarrassment of riches. Might also mention some of This Week’s Finds, e.g., Week 65 and Week 230.

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeAug 17th 2015

    Speaking of the graphs Y pqrY_{pqr}, the special case Y 666Y_{666} comes up in the study of the Monster group (with the obvious triality of the graph turning up in the triality that helps build the Monster).

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 18th 2015

    Thanks. Literature on the ADE pattern should indeed go to the entry ADE classification. Here I was trying to motivate me/us to create a nice hyperlinked ADE – table that would show the relevant patterns and/or to create the entries for keywords in this table, in as far as they are still missing.

    I have expanded just a tad more. Will come back to this later.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 15th 2018

    I have hyperlinked the table headers with classification of finite rotation groups, and added the symbols for the various finite groups to the table

    diff, v5, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 2nd 2018

    added a row for D4.

    Also adjusted the labels on the D-series.

    diff, v9, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2019
    • (edited Aug 29th 2019)

    added a line for Dynkin label D5. Will create the corresponding entries now.

    diff, v11, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2019
    • (edited Aug 29th 2019)

    added yet one more row, now for Dynkin label D6. Will create the corresponding entries now

    diff, v14, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2019

    in the column “dihedron/Platonic solid” I have added the cases: dihedron on… bigon, triangle and square

    diff, v14, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2019

    added row for Dynkin label A3

    diff, v15, current

1 to 11 of 11

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