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Mar 2 at 20:43 history edited Tom Copeland CC BY-SA 4.0
Added link on Lyndon words and commutators
Mar 22, 2023 at 22:56 comment added Tom Copeland @darijgrinberg, that paper is always worth noting as well as the more comprehensive book by Mansour and Schork" Commutation Relations, Normal Ordering, and Stirling Numbers".
Mar 22, 2023 at 22:09 history edited Tom Copeland CC BY-SA 4.0
Elaborated for the uninitiated
Mar 22, 2023 at 20:23 comment added Tom Copeland @darijgrinberg, yes, this clan is referenced by Schork. I'm well aware of them and conversely (was once asked for some refs by one). The paper I'm trying to find wasn't written by any of them. I probably first came across it circa 2001 before I took note of this clan. The author used the commutator to iteratively re-order an arbitrary string of $U$ and $V$s--maybe my first intro to such combinatorics so I would like to ref it in the future as homage (motivated also probably by some mild OCD irksomeness that I can't remember it). Keep a lookout please. // Perhaps I'm misusing 'Lyndon word'.
Mar 22, 2023 at 20:04 comment added darij grinberg I'm not sure I've ever seen the Stirling polynomial formula connected to Lyndon words. But arXiv:0704.3116 might be close to what you are looking for.
Mar 20, 2023 at 22:35 comment added Tom Copeland The paper was at an elementary level, not related to mathematical logic nor computer science nor even graphics if I recall, and was probably published between 1950 and 2000. The only reason I take note of the phrase "Lyndon words" was from this paper. If I could be more concrete on the details, I could probably find it myself. At least, I know other users are interested in the content of Schork's paper
Mar 20, 2023 at 21:03 history asked Tom Copeland CC BY-SA 4.0