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    • CommentRowNumber1.
    • CommentAuthorelif
    • CommentTimeMar 10th 2017
    In https://arxiv.org/pdf/1208.6265.pdf, why does Majıd need the condition (1) in the definition 2.1?
    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeMar 10th 2017
    • (edited Mar 10th 2017)

    Better formatting and linking to the abstract page: Strict quantum 2-groups

    • CommentRowNumber3.
    • CommentAuthorelif
    • CommentTimeMar 11th 2017
    Ok. Why does Majıd need the condition (1) in the definition 2.1?
    • CommentRowNumber4.
    • CommentAuthorTobyBartels
    • CommentTimeMay 31st 2017

    I assume that you're asking why he needs the equation

    h (1)h (2)a=h (2)h (1)a h_{(1)} \otimes h_{(2)} \triangleright a = h_{(2)} \otimes h_{(1)} \triangleright a

    (for hh in the ground Hopf algebra HH and aa in the Hopf HH-algebra AA), rather than the entire set-up in that condition; without that set-up (consisting of HH and AA themselves), you'd have nothing to talk about.

    I don't remember enough about Hopf algebras to answer your question either, but I'm trying to understand it. ☺️