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nLab > Latest Changes: Spin group

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  1.  
    • CommentRowNumber1.
    • CommentAuthorGuest
    • CommentTimeOct 14th 2009
    Created stub for Spin group. Made a mess of explaining why it is so named.

    -David Roberts
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeOct 13th 2011

    I have added a list of exceptional isomorphisms in low dimensions to Spin group

    I am really after what happens for Spin(6,2)Spin(6,2). But that seems to be a longer story…

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 20th 2014

    I have finally added the actual definition via Clifford algebra at spin group. Also at spin representation.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 8th 2018
    • (edited Dec 8th 2018)

    added pointer to

    • Martin Čadek and Jiří Vanžura, On Sp(2)Sp(2) and Sp(2)⋅Sp(1)Sp(2) \cdot Sp(1)-structures in 8-dimensional vector bundles, Publicacions Matemàtiques Vol. 41, No. 2 (1997), pp. 383-401 (jstor:43737249)

    for discussion of the exceptional isomorphism Spin(5)≃Sp(2)Spin(5) \simeq Sp(2) via triality

    diff, v35, current

1 to 4 of 4

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