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.[1]

## See also

* 2-ring
* Homotopy Lie algebra

## References

1. ↑ Baez & Crans 2004, 1. Introduction

* Jim Stasheff and Urs Schreiber, Zoo of Lie n-Algebras.
* A post about the paper at the n-category café.
* Baez, John; Crans, Alissa (2004). "Higher-Dimensional Algebra VI: Lie 2-Algebras". Theory and Applications of Categories 12 (15): 492–528. 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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