Lie n-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
References
- ^ 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.
- John Baez, Alissa Crans, Higher-Dimensional Algebra VI: Lie 2-Algebras Theory and Applications of Categories, Vol. 12, (2004) No. 15, pp 492–528.