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Probably because the diagram originated in a Vector Spaces book, and commutativity is viewed more as a valuable property than a structural constraint. Do physi

Probably because the diagram originated in a Vector Spaces book, and commutativity is viewed more as a valuable property than a structural constraint. Do physicists have any use for non-commutative algebra? It already seems pretty niche in mathematics.

sergius 7y ago
Rotation group maybe? And those gauge symmetries... heck, just look into quantum mechanics operators.
QuesnayJr 7y ago
All of quantum mechanics is non-commutative algebra. The commutative relation [x, p] = i*hbar gives you the Weyl algebra, for example.