Abstract
A Lie group is a smooth manifold that is also a group. Lie groups play a central role in the geometry of manifolds and in the theory of invariants of dynamical systems in physics. They are named in honor of S. Lie, their theory was much developed by E. Cartan.
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References
Warner, F.W.: Foundations of Differentiable Manifolds and Lie Groups. Springer, New York (1983)
Pontrjagin, L.S.: Topological Groups, 2nd edn. Gordon and Breach, New York (1966)
Scheck, F.: Mechanics, 2nd Corrected and Enlarged edn. Springer, Berlin (1994)
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Eschrig, H. (2010). Lie Groups. In: Topology and Geometry for Physics. Lecture Notes in Physics, vol 822. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14700-5_6
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DOI: https://doi.org/10.1007/978-3-642-14700-5_6
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