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.
- Baez, John; Crans, Alissa (2004). "Higher-Dimensional Algebra VI: Lie 2-Algebras". Theory and Applications of Categories. 12 (15): 492–528.