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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 31st 2018

    some minimum idea

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 31st 2018

    So maybe here’s a better place: how should we relate what you’ve written to center of an infinity-group? What’s a not-necessarily-central higher extension?

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 31st 2018

    Ah, of course we have infinity-group extension with a section on central such.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 31st 2018

    added these words at the beginning:

    In higher algebra a higher central extension of some algebraic object should be a higher analog of a central extension, hence a higher extension by something in the higher analog of the center. What exactly “higher center” should mean is subject to some choices, see for instance center of an ∞-group.

    But there is an easily identified sub-class of higher extensions that should definitely count as higher central extensions:

    v1, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 31st 2018

    added pointer to section 4.3 of NSS 12

    v1, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 31st 2018

    re #3, thanks, will cross-link now

    • CommentRowNumber7.
    • CommentAuthorTim_Porter
    • CommentTimeAug 1st 2018
    • (edited Aug 1st 2018)

    How about ’Higher central extensions and cohomology’ by Diana Rodelo and Tim van der Linden? (see here.) There are a few papers following on from Janeldize’s earler work on double central extensions. (I am ‘on the move’ at the moment so will not have a chance to check up on these.)

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