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Sep 26, 2022 at 21:33 history became hot network question
Sep 26, 2022 at 18:56 comment added Tom Copeland And w.r.t. numerical integration of diff eqs, see the discussion surrounding eqns. 2.45 and 3.2 on pp. 33 and 38 of "Lie-group methods" by Iserles, Munthe-Kaas, Nørsett, and Zanna (damtp.cam.ac.uk/user/na/NA_papers/NA2000_03.pdf).
Sep 26, 2022 at 18:32 comment added Tom Copeland See also the 2020 paper "Notes on the theorem of Baker-Campbell-Hausdorff-Dynkin" by Michael Mueger (math.ru.nl/~mueger/PDF/BCHD.pdf).
Sep 26, 2022 at 16:24 comment added LSpice I don't know any name for it, but the situation $[X, Y] = s Y$ is precisely the case when there is a representation of the Lie algebra of the so called “$a x + b$ group” $\left\{\begin{pmatrix} a & b \\ 0 & 1 \end{pmatrix}\right\}$ sending $\begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}$ to $X$ and $\begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}$ to $Y$ … so perhaps that could be used to make up a name?
Sep 26, 2022 at 16:21 comment added LSpice @BenMcKay, re, there are three articles in that tag; did you mean Tao - The $C^{1, 1}$ Baker–Campbell–Hausdorff formula?
Sep 26, 2022 at 15:39 answer added Carlo Beenakker timeline score: 4
Sep 26, 2022 at 15:38 comment added Ben McKay There is a nice discussion of this, not answering your questions perhaps, on terrytao.wordpress.com/tag/baker-campbell-hausdorff-formula
Sep 26, 2022 at 14:32 history edited YCor
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S Sep 26, 2022 at 14:28 history suggested The Amplitwist CC BY-SA 4.0
put bare URL behind explanatory text; added math operator command for adjoint operator; added permanent link to current revision of section "Special cases", since it could be edited in a way that makes this question confusing for future readers
Sep 26, 2022 at 13:57 review Suggested edits
S Sep 26, 2022 at 14:28
Sep 26, 2022 at 13:33 history asked askquestions2 CC BY-SA 4.0