Capelli's identity

English

Etymology

Named after Alfredo Capelli (1887).

Proper noun

1. Template:Lb 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 ${𝔤𝔩}_n$. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Template:W.