Ciro Santilli
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Lie group | 🗖 nosplit | ↑ parent "Important mathematical groups" | 187, 17, 815

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The key and central motivation for studying Lie groups and their Lie algebras appears to be to characterize symmetry in Lagrangian mechanics through Noether's theorem, just start from there. Notably local symmetries appear to map to forces, and local means "around the identity".
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Bibliography:
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