Timeline for Hopf algebra structure on the universal enveloping algebra of a Leibniz algebra?
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| S Dec 24, 2016 at 15:52 | history | suggested | Konstantinos Kanakoglou | CC BY-SA 3.0 |
tex delimiters added
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| Dec 24, 2016 at 15:26 | review | Suggested edits | |||
| S Dec 24, 2016 at 15:52 | |||||
| Jun 23, 2015 at 7:14 | answer | added | Gigel Militaru | timeline score: 2 | |
| S Dec 24, 2014 at 18:28 | history | suggested | Tadashi |
Added relevant tag
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| Dec 24, 2014 at 18:16 | review | Suggested edits | |||
| S Dec 24, 2014 at 18:28 | |||||
| Feb 23, 2010 at 16:35 | answer | added | Zoran Skoda | timeline score: 5 | |
| Nov 4, 2009 at 3:16 | vote | accept | José Figueroa-O'Farrill | ||
| Nov 3, 2009 at 13:48 | answer | added | Vladimir Dotsenko | timeline score: 10 | |
| Nov 1, 2009 at 6:35 | history | edited | José Figueroa-O'Farrill | CC BY-SA 2.5 |
Added more details in response to a comment.
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| Nov 1, 2009 at 6:16 | comment | added | José Figueroa-O'Farrill | More space than allowed in a comment, but I will add it to the main body of the question. I hope that's alright. | |
| Oct 31, 2009 at 23:44 | comment | added | Theo Johnson-Freyd | Would it take too much space for you to describe/define the space U(L) and its algebra and coalgebra structures? | |
| Oct 30, 2009 at 2:35 | comment | added | José Figueroa-O'Farrill | Continuing with the above comment... n-Lie algebras are n-ary generalizations of Lie algebras, with which they agree for n=2. They appeared originally for n=3 in work of Nambu on generalised hamiltonian dynamics. There's a canonical metric 3-Lie algebra (albeit infinite-dimensional) attached to every oriented compact 3-manifold, for example. Underlying every n-Lie (or more generally n-Leibniz) algebra is a Leibniz algebra structure on its n-th tensor power. If you forgive pointing to a paper of mine, you can read about this in arxiv.org/abs/0903.4871 and references therein. | |
| Oct 30, 2009 at 2:30 | comment | added | José Figueroa-O'Farrill | They were introduced by Loday in his book on Cyclic Cohomology, but that's not where I have met them. The most recent place I have met them is in the study of n-Lie algebras, which was prompted by some recent developments in the gauge/gravity correspondence. Essentially, metric n-Lie algebras (and more generally metric n-Leibniz algebras) are used in formulating some three-dimensional superconformal field theories with desirable properties. This started with work of Bagger and Lambert (check the hep-th arXiv if you are interested) in 2006/7, with a minor explosion of activity in 2008/9. | |
| Oct 29, 2009 at 19:37 | comment | added | S. Carnahan♦ | I'm curious: where do Leibniz algebras show up in mathematics? | |
| Oct 29, 2009 at 16:06 | history | asked | José Figueroa-O'Farrill | CC BY-SA 2.5 |