A Lie algebra is a mathematical structure that consists of a vector space equipped with a binary operation called the Lie bracket, which satisfies bilinearity, antisymmetry, and the Jacobi identity. It is closely related to Lie groups, as every Lie group has an associated Lie algebra that captures the infinitesimal structure of the group, allowing for analysis of its local properties.
congrats on reading the definition of Lie Algebra. now let's actually learn it.