I just started learning about lie algebra, really the very basics. Definition and motivation mostly. And clearly it's a field which is very motivated by differential geometry. I was wondering what connections there are to other fields, such as Algebraic topology, Algebraic geometry, number theory or category theory.
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Lie groups are fascinating animals in the algebraic topologist's biosphere and Lie algebras are a vital tool in understanding them. – Rob Arthan May 25 '22 at 21:02
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1Related: https://math.stackexchange.com/q/1322206/96384. Even more related: https://mathoverflow.net/q/58696/27465 – Torsten Schoeneberg May 26 '22 at 02:03