From what I know, Lie wanted to generalize properties of differentials, but (ab)' = a'b + ab', so why exactly did they construct an algebra that follows the jacobian identity and anti-skew symmetry? If they were working with one-parameter groups then why would generalizing cross products or jacobians help?
2026-03-31 21:56:33.1774994193
What is the motivation of a Lie algebra's properties?
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