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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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Reference for homogeneous spaces
An Introduction to Lie Groups and the Geometry of Homogeneous Spaces written by By Andreas Arvanitogeōrgos is a useful reference Read online here.
Another good reference for physic and math students …