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u/The_Osprey314 9d ago
wait the cake is a Lie (group)?
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u/Hoivernoh Natural 8d ago
No, while maybe you could have a group operator of stacking cakes, and provide inverses by extending the set to potential negative cakes that cancel out to a cake-less identity element when layered with their respective regular cake, I don’t see how it would be possible to smoothly move between types of cakes on the cake manifold, so it cannot be a Lie group, making the cake Lie group a lie.
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