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Lie’s theory of continuous symmetries was originally for differential equations, but turns out to be very useful for physics because symmetries are manifest in many physical systems. This is the start of a series on Lie groups, Lie algebras, and Lie brackets.
Files for download:
Go to https://www.mathemaniac.co.uk/download and enter the following password: lievideoseries
Sources:
History of group theory: https://en.wikipedia.org/wiki/History...
Lie’s theory for differential equations (actually developed further after Lie died):
https://arxiv.org/pdf/1901.01543.pdf
https://www.physics.drexel.edu/~bob/L...
https://www.researchgate.net/profile/...
https://en.wikipedia.org/wiki/Lie_poi...
Lie theory applications to mathematics: https://math.stackexchange.com/questi...
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