Capelli's identity

Etymology
Named after Alfredo Capelli (1887).

Proper noun

 * 1)  An analog of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra $$\mathfrak{gl}_n$$. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is.