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nLab > Latest Changes: G₂/SU(3) is the 6-sphere

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 13th 2019

    for ease of reference

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 29th 2019
    • (edited Apr 29th 2019)

    The entry used to say (and still says)

    According to ABF 17 the statement is originally due to to

    T. Fukami, S. Ishihara, Almost Hermitian structure on S 6S^6, Tohoku Math J. 7 (1955), 151–156 (doi:10.2748/tmj/1178245052)

    There is this alternative attribution, which I have added now:

    According to

    • Alfred Gray, Paul S. Green, p. 2 of Sphere transitive structures and the triality automorphism, Pacific J. Math. Volume 34, Number 1 (1970), 83-96 (euclid:1102976640)

    the statement is originally due to

    • Deane Montgomery, Hans Samelson, Transformation Groups of Spheres, Annals of Mathematics Second Series, Vol. 44, No. 3 (Jul., 1943), pp. 454-470 (jstor:1968975)

    But looking through it, it’s maybe not so easy to decide.

    diff, v3, current

  3. Used unicode subscripts for indices of exceptional Lie groups including title and links. When not linked, usual formulas are used. See discussion here. Links will be re-checked after all titles have been changed. (Removed two redirects for “G2/SU(3) is the 6-sphere” from the top and added one for “G2/SU(3) is the 6-sphere” at the bottom of the page.)

    diff, v4, current

1 to 3 of 3

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