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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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Exceptional Quantum Groups as FRT-Algebras
I think a good reference is this paper by Jin-Ma. R-matrices for E7 and F4 are computed while references are given for E6 and G2. I am not aware if E8 has been taken care of.