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Peter May's user avatar
Peter May
  • Member for 14 years
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Hopf structure on the universal enveloping of a super Lie algebra
Please no. I was there in the 1960's. There was no fluidity or ambiguity. That is just not so. And the signs that people used in the 1960's are the same as those used by people who like the word super (according to Wikipedia on superalgebras for example.) There is a nice old paper by Boardman that is all about sorting out signs.
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Hopf structure on the universal enveloping of a super Lie algebra
Ignore Lie algebras, whether super Lie algebras as in the question or Lie superalgebras as in your comment. Our good friend, the exterior algebra on one odd degree element (char F $\neq 2$) demands defense as the respected primitively generated Hopf algebra that he has always understood himself to be. He may be even older than I am.
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Tricategorical coherence
You may want to look at Nick Gurski's fully algebraic treatment of coherence in tricategories ``Coherence in three-dimensional category theory''.
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