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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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Surjectivity of irreducible representation of Chevalley algebras

Let $A$ be an associative algebra over an algebraically closed field $k$. The following theorem holds (see, for instance, Theorem $2.5$ on page $24$ in Introduction to Representation Theory by Pavel E …