capelli's identity

/K AH0 P EH1 L IY0 EH0 S AY0 D EH0 N T AH0 T IY0/
noun
  1. 1

    (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 glₙ. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.

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