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nLab > Latest Changes: exceptional structure

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2019

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2019

    made page name singular

    v1, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 15th 2019

    Added some more cases, and pointed out some interrelations.

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 15th 2019

    Added a reference

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2019

    thanks, hadn’t seen that (and it seems unpublished?) BTW, we do have an entry for Yang-Hui He

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 17th 2019

    Added connection and reference between the Leech lattice and the octonions.

    diff, v7, current

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 17th 2019

    I added a link to an associated talk by Wilson.

    He ends with applications:

    • Perhaps this gives us a better understanding of why the Leech lattice exists.

    • Perhaps it will give us new ways to prove important properties of the Leech lattice and the Conway group.

    • Perhaps we can use octonions to simplify the construction of the Monster.

    • Perhaps it will explain the ‘2-local group’ BDI(4) which contains Co3 and looks as though it should be some kind of twist of ‘skew-symmetric 3×3 matrices over octonions’

    Could one dare to hope that growing the superpoint ℝ 0|3\mathbb{R}^{0|3} could make contact with these things?

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJun 27th 2019

    added pointer to

    • Piero Truini, Michael Rios, Alessio Marrani, The Magic Star of Exceptional Periodicity (arXiv:1711.07881)

    prodded by today’s

    • Michael Rios, Alessio Marrani, David Chester, Exceptional Super Yang-Mills in D=27+3D=27+3 and Worldvolume M-Theory (arXiv:1906.10709)

    Haven’t absorbed either yet. But if these hold water, I should.

    diff, v9, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJan 16th 2023

    added publication data for this item:

    diff, v11, current

1 to 9 of 9

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