Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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 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