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nLab > Latest Changes: quaternionic unitary group

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 10th 2019

    added mentioning of the first two exceptional isos Sp(1)≃Spin(3)Sp(1) \simeq Spin(3) and Sp(2)≃Spin(5)Sp(2) \simeq Spin(5)

    diff, v2, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 19th 2019

    added cross-pointer

    A Riemannian manifold of dimension 4n4n is called a quaternion-Kähler manifold if its holonomy group is a subgroup of the direct product group Sp(n)×Sp(1)Sp(n) \times Sp(1).

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorJohn Baez
    • CommentTimeJan 18th 2023

    There’s a lot more about this group on another page, so I added this:

    This group is also called the compact symplectic group, since both it and the symplectic group are real forms of the a complex Lie group. See more at compact symplectic group.

    diff, v11, current

    • CommentRowNumber4.
    • CommentAuthorJohn Baez
    • CommentTimeJan 18th 2023

    I improved the page a bit more.

    diff, v11, current

1 to 4 of 4

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