Lie n-algebra
{{Short description|Generalization of a Lie algebra}}
In mathematics, a Lie n-algebra is a generalization of a Lie algebra, a vector space with a bracket, to higher order operations. For example, in the case of a Lie 2-algebra, the Jacobi identity is replaced by an isomorphism called a Jacobiator.{{harvnb|Baez|Crans|2004|loc=1. Introduction}}
See also
References
{{reflist}}
- Jim Stasheff and Urs Schreiber, [http://www.math.uni-hamburg.de/home/schreiber/zoo.pdf Zoo of Lie n-Algebras].
- A [https://golem.ph.utexas.edu/category/2007/05/zoo_of_lie_nalgebras.html post] about the paper at the n-category café.
- {{cite journal | first1 = John | last1 = Baez | first2 = Alissa | last2 = Crans |title = Higher-Dimensional Algebra VI: Lie 2-Algebras | journal = Theory and Applications of Categories | volume = 12 | year = 2004 | issue = 15 | pages = 492–528 | url = https://eudml.org/doc/124264}}
Further reading
- https://ncatlab.org/nlab/show/Lie+2-algebra
- https://golem.ph.utexas.edu/category/2007/08/string_and_chernsimons_lie_3al.html
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