# Definition:Lie Theory/Historical Note

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## Historical Note on Lie Theory

The branch of mathematics now known as **Lie theory** emerged from the research by Marius Sophus Lie, started in $1873$, into the structure of what are now known as Lie groups.

The results of this research appeared in the publication of $3$ papers by Marius Sophus Lie and Friedrich Engel between $1888$ and $1893$, and $4$ papers by Wilhelm Karl Joseph Killing between $1888$ and $1890$.

The work built on the concepts of groups and matrices by Arthur Cayley, William Rowan Hamilton and James Joseph Sylvester, dating back to the years between $1850$ and $1859$.

More recently, Lie groups have shown they have a practical application in modern physics.

## Sources

- 1974: Robert Gilmore:
*Lie Groups, Lie Algebras and Some of their Applications*... (next): Preface