Timeline for Replacing the Lie commutator with something else [closed]
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Dec 27, 2014 at 19:43 | comment | added | Pasha Zusmanovich | 2. A few recent arXiv texts by Keqin Liu: arXiv:1012.2844 arXiv:1104.3954 arXiv:1207.6160; its hard to describe what he is doing there in few words, but the (seemingly interesting) constructions there apparently have some resemblance with what you are interested in (basically, they are some extended mutations with a twist). | |
| Dec 27, 2014 at 19:30 | comment | added | Pasha Zusmanovich | 1. For a (generally, nonassociative) algebra A, an algebra with a new multiplication x*y = xay - ybx for some fixed elements a,b in A is called mutation. There are many papers written about mutations of various classes of algebras (Boers; Elduque, Myung with coauthors; Mallol & Varro; Montaner), and one book: A. Elduque and H.C. Myung, Mutations of Alternative Algebras, Kluwer, 1994; review: Bull. Amer. Math. Soc. 33 (1996), 227-228 | |
| Feb 26, 2014 at 20:41 | review | Reopen votes | |||
| Feb 27, 2014 at 1:13 | |||||
| Feb 26, 2014 at 12:14 | comment | added | Hauke Reddmann | @UwF and arsmath: Bingo! THX for the references. (I knew it existed, but I wouldn't have known where to begin searching.) | |
| Feb 24, 2014 at 15:06 | comment | added | arsmath | @TobiasKildetoft - Thanks, you're completely right. I should have done that before shooting my big mouth off. Er, big keyboard off? | |
| Feb 24, 2014 at 14:37 | comment | added | Tobias Kildetoft | @arsmath To see why it was put on hold, check the edit history. | |
| Feb 24, 2014 at 14:33 | comment | added | arsmath | Some of these have been studied, though I don't know how general of a theory there is. Non-associative products of the form AB + c BA show up as "noncommutative Jordan algebras". There is a ternary generalization of Jordan algebras that's commonly studied because it behaves better in characteristic 2 than the usual definition. There are some other ternary generalizations that are discussed in the first chapter of McCrimmon's book on Jordan algebras. | |
| Feb 24, 2014 at 14:29 | comment | added | arsmath | This question seems basically clear to me -- I'm not sure why it was put on hold. | |
| Feb 24, 2014 at 12:18 | review | Reopen votes | |||
| Feb 24, 2014 at 14:22 | |||||
| Feb 24, 2014 at 12:02 | history | edited | Hauke Reddmann | CC BY-SA 3.0 |
If it's still unclear, feel free to delete without asking.
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| Feb 21, 2014 at 20:39 | history | closed |
Noah Stein Ben Webster♦ |
Needs details or clarity | |
| Feb 21, 2014 at 16:22 | comment | added | UwF | You mean something like this mathoverflow.net/questions/96584/ternary-lie-structure ? | |
| Feb 21, 2014 at 16:19 | review | Close votes | |||
| Feb 21, 2014 at 20:39 | |||||
| Feb 21, 2014 at 15:44 | history | asked | Hauke Reddmann | CC BY-SA 3.0 |