idk if physicists know this but sometimes students read your papers and they get confused because you said a false thing about lie groups and who do they come to for help? me, motherfuckers
treating them as NOT equal can also be confusing tho lmao
had a linear algebra book that confused the hell out of me bc it defined everything twice (once for linear maps and once for matrices)
when i switched from maths to physics the fact that physicists define ‘equal’ w.r.t. to, well, the actual physics, as opposed to shallow structural isomorphisms was very hard to grog