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Jan 16, 2018 at 3:13 vote accept CommunityBot
Dec 18, 2017 at 21:05 history edited Torsten Schoeneberg CC BY-SA 3.0
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Dec 18, 2017 at 21:05 comment added Torsten Schoeneberg @YCor: Point taken, I'll remove it.
Dec 18, 2017 at 20:53 comment added YCor Would you say that EGA was written in close collaboration with Bourbaki? Dieudonné was coauthor, Serre was deeply involved around Grothendieck... but these people have their own existence beyond Bourbaki. In this better-documented case, the historical context certainly cannot ignore Bourbaki, but "collaboration with Bourbaki" would be inappropriate.
Dec 18, 2017 at 20:45 comment added YCor Precisely, he thanks Serre as Serre, not Serre as member of Bourbaki. Since Serre is the person in Bourbaki who is most associated to this field, why speculate on other links with Bourbaki? You're talking of probable "close collaboration with Bourbaki"; it seems purely speculative (and taking part in Séminaire Bourbaki implies by no means "collaborating" with Bourbaki).
Dec 18, 2017 at 20:42 comment added Torsten Schoeneberg Besides that, Lazard took part in Séminaires Bourbaki at least in the 1950s. Here, in 1953, he already investigates what he calls the "formule de Campbell-Pascal-Baker-Poincaré-Hausdorff (...?)", although, if I'm not mistaken, only w.r.t. archimedean values: numdam.org/article/SB_1951-1954__2__255_0.pdf
Dec 18, 2017 at 20:26 comment added Torsten Schoeneberg @YCor: I was under the impression that the Bourbaki treatment of the relation between Lie Groups and Lie Algebras (chapter 3 in particular), including the ultrametric case, bears much more than a coincidental resemblance with Serre's 1965 notes on "Lie algebras and Lie groups". In his latest comment on his answer, Jim Humphreys also suggests that Serre had "a major role" in the Bourbaki approach. That is what I intended to say, Lazard worked with Serre directly, and thus at least indirectly with Bourbaki. But if that's too speculative, I can remove it.
Dec 18, 2017 at 20:08 comment added YCor What makes you think of collaboration with Bourbaki? There are warm thanks to Jean-Pierre Serre (p10), but I don't see the point with Bourbaki.
Dec 18, 2017 at 18:39 history answered Torsten Schoeneberg CC BY-SA 3.0