A Nonassociative Algebra obeyed by objects such as the Lie Bracket and Poisson Bracket. Elements ,
, and of a Lie algebra satisfy
(1) |
(2) |
(3) |
(4) |
See also Jacobi Identities, Lie Algebroid, Lie Bracket, Iwasawa's Theorem, Poisson Bracket
References
Lie Algebra
Jacobson, N. Lie Algebras. New York: Dover, 1979.