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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeOct 18th 2012
   • (edited Oct 18th 2012)
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   Author: zskoda
   Format: MarkdownItexNew entry [[PBW theorem]] and stub [[primitive element]]. Related new stubs [[filtered ring]] and [[associated graded ring]] with redirects [[filtered algebra]], [[associated graded algebra]].

   New entry PBW theorem and stub primitive element. Related new stubs filtered ring and associated graded ring with redirects filtered algebra, associated graded algebra.

2. • CommentRowNumber2.
   • CommentAuthorjim_stasheff
   • CommentTimeOct 18th 2012
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   Author: jim_stasheff
   Format: TextSo far no mention of the coalgebra structure?

   So far no mention of the coalgebra structure?
3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 18th 2012
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   Author: Urs
   Format: MarkdownItexThanks Zoran! I have edited a little more.

   Thanks Zoran! I have edited a little more.

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeOct 18th 2012
   • (edited Oct 18th 2012)
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   Author: zskoda
   Format: MarkdownItexJim: Coalgebra structure on [[universal enveloping algebra]] is, of course, described _in detail_ at [[universal enveloping algebra]], no need to repeat it here.

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

5. • CommentRowNumber5.
   • CommentAuthorjim_stasheff
   • CommentTimeOct 19th 2012
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   Author: jim_stasheff
   Format: TextI meant what about the proof of PBW that uses the coalgebra structure to great advantage

   I meant what about the proof of PBW that uses the coalgebra structure to great advantage
6. • CommentRowNumber6.
   • CommentAuthorzskoda
   • CommentTimeOct 19th 2012
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   Author: zskoda
   Format: MarkdownItexWhere can one find such a proof ?

   Where can one find such a proof ?

7. • CommentRowNumber7.
   • CommentAuthorTodd_Trimble
   • CommentTimeFeb 5th 2013
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   Author: Todd_Trimble
   Format: MarkdownItexI added the remark that PBW holds in the general context of $k$-linear tensor categories, with a reference.

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

8. • CommentRowNumber8.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 19th 2018
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   Author: Dmitri Pavlov
   Format: MarkdownItexAdded an abstract PBW theorem due to Dotsenko and Tamaroff. <a href="https://ncatlab.org/nlab/revision/diff/PBW+theorem/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/PBW+theorem/10">v10</a>, <a href="https://ncatlab.org/nlab/show/PBW+theorem">current</a>

   Added an abstract PBW theorem due to Dotsenko and Tamaroff.

   diff, v10, current