Capelli's identity

English

Etymology

Named after Alfredo Capelli (1887).

Proper noun

Capelli 's identity

(mathematics) 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 Cayley's Ω process.

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