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Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.
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Generalizations of Lie algebras
A generalization of the idea of a Lie superalgebra exists and is known as $\epsilon$-Lie algebras or color Lie algebras. They generalize Lie superalgebras in the sense that the underlying vector space …