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Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras

7 votes

A mysterious Heisenberg algebra identity from Sylvester, 1867

This can be interpreted cleanly using the notion of Pre-Lie algebra. Indeed, vector fields on an affine space form a Pre-Lie algebra. To prove the desired identity, it is enough to consider the free …
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