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    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeOct 18th 2012
    • (edited Oct 18th 2012)
    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeOct 18th 2012
    So far no mention of the coalgebra structure?
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 18th 2012

    Thanks Zoran! I have edited a little more.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeOct 18th 2012
    • (edited Oct 18th 2012)

    Jim: Coalgebra structure on universal enveloping algebra is, of course, described in detail at universal enveloping algebra, no need to repeat it here.

    • CommentRowNumber5.
    • CommentAuthorjim_stasheff
    • CommentTimeOct 19th 2012
    I meant what about the proof of PBW that uses the coalgebra structure to great advantage
    • CommentRowNumber6.
    • CommentAuthorzskoda
    • CommentTimeOct 19th 2012

    Where can one find such a proof ?

    • CommentRowNumber7.
    • CommentAuthorTodd_Trimble
    • CommentTimeFeb 5th 2013

    I added the remark that PBW holds in the general context of kk-linear tensor categories, with a reference.

    • CommentRowNumber8.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 19th 2018

    Added an abstract PBW theorem due to Dotsenko and Tamaroff.

    diff, v10, current

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