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Source of Name
This entry was named for Marius Sophus Lie.
When the concept of a Lie group was originally researched, it did not appear to have any immediate practical application.
In more recently times, they have been used:
- to describe pseudo-Riemannian locally homogeneous symmetric spaces, to be used in geometric theory of gravitation
- to model phenomena in quantum mechanics, from $1925$ to $1926$, via Hermitian matrix representations of observations